Physics-
General
Easy
Question
A body of mass
is moving with a uniform speed
along a circle of radius
, what is the average acceleration in going from
to
?![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/904297/1/923294/Picture8.png)
- None of these
The correct answer is: ![2 square root of 2 v to the power of 2 end exponent divided by pi r](data:image/png;base64,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)
Here, ![T equals fraction numerator 2 pi r over denominator 4 v end fraction equals fraction numerator pi r over denominator 2 v end fraction](data:image/png;base64,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)
Change in velocity is going from
to
= ![v square root of 2](data:image/png;base64,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)
Average acceleration ![equals fraction numerator v square root of 2 over denominator pi r divided by 2 v end fraction equals fraction numerator 2 square root of 2 v to the power of 2 end exponent over denominator pi r end fraction](data:image/png;base64,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)
Related Questions to study
physics-
A body of mass
is moving with a uniform speed of
on friction less surface under the influence of two forces
and
. The net power of the system is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARoAAACQCAYAAADX76SwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABv1SURBVHhe7d3ZjwRV+cbxYnEXxH1DBBQRVNzABVEEQQUloqJBL9Ro4oXG6IU3Xmh+f4Am3qBGY1SIIC4ooEbcwAUUcAMFUXFfwAVx39fPYV5+zTjT0zN0ddVMP9/kpGe6q6urTp33Oe/7nnOqdvn3f+lCCKFHdl15DSGE3ojQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXciNCGE3onQhBB6J0ITQuidCE0IoXd2+fd/Wfl7IfzrX//q/vKXv3R//vOfV96ZH7vuumt3u9vdrrvlLW+58k4IYQwsXGh+85vfdN/61re6733ve010Vv/8LrvssvLX7NiHcpvb3KZ70IMe1B100EErn4QQxsDChYbIXHTRRd3Pfvaz7k9/+lPzbAjObrvt1jyRW93qVu1v3sl6olOH/M9//rP7+9//3v3jH/9or7e97W27fffdtzv00EO7Qw45pG0TQhiehQvN7373u+7b3/52d/nll3ff//73u8suu6z7/e9/3+25557dPvvs093vfvfr7nCHO7Sy++67r3zrphAm4uJ711xzTffLX/6y++lPf9q+89CHPrR7whOeEKEJYUQMkqP561//2l177bXdmWee2b3tbW9rInHAAQd0Rx11VPe4xz2ue+xjH9u8k2keDY/nF7/4RfOOfvjDHzbB8p2jjz66e+pTn9rtvffeK1uHEIZm4UJTEJw3v/nN3ete97ru17/+dfNmXvjCF3bPf/7zuwc+8IErW02HV8M7Us4555zub3/7W3fiiSd2z3zmM1v4FcJOgfcu7eBVB1wFZcJr5TxXM9l5V3rCd6Qt7n73u3f777//yqfzZTCh4dWcdtpp3Wtf+9rm3TziEY/oXvziF3cvf/nLV7aYHZ7Nm970pvb6rGc9qzvmmGNWPglhZ/CTn/ykO/vss1sb18EqcpQgGNIMt7jFLdrfG8HkiZK8puLvPfbYo6Ubnv3sZ69sNV8GnUejolQOD+bBD35wt9dee618sjnudre7dfe61726e9zjHi18CmGncfvb37478MADWxvnfZgiQnzkOXk5BMZntmFLRl9XF+/7/D73uU93pzvdqdmfQRkd/R//+McmXn0xqNBQU0PSXLZ73vOeTVW3in2owJuzjxDGik5Y/tJgic6U7RhQ+eIXv9hGb43W+uy4445rXsl65fjjj2+ey73vfe/mBf3gBz9oYiPtwLPpi0GExgn9/Oc/byoql2K06K53vWt73SqPf/zjW9g0a34nhO2GTvlRj3pU897veMc7tsmpOladtPcOO+ywG21oMo9TBbZ/2MMe1gTp4IMPbiO09nnf+963eTl9MYjQEJgrr7yy+8Mf/tBCJ26h8EfZiB/96EfNVVyNSlLJ9hfCToVnQ2TYDC+G+OikCYX3NoLglM095CEPaSGVBPB+++3XBmT6YhCh4fYZkiY0PBrKbDhaZU3j+uuv73784x83VzGEZaWSuUSD2Ohk5V82O9J6l7vcpXXOOvj73//+G9rfzWEQoSEYJtl5hZiTKq+XyJWkEkfygngzAw2UhTA4bIHd/Pa3v23JXEJjsqtE8CwjTpPwagiN3KYZ9X0OpCxcaMwMvvrqq1sIpKgsJzxtIaT1UZ/+9Ke7b3zjG62il2GOjB5L3aSMo7geQ3dwjkEHzas32sSWbn3rW29ZIIiMBDJvhlj1ycLn0UgCm1z31re+tQmHuPBFL3pR97znPa+p6urD4R4Ks97+9re3C37kkUd2j370o29Meu00NCbrv4SVQswwDngLjHGWPEhfGBm65JJLure85S3dJz7xiTbE/eQnP7l75Stf2R1xxBErW/0vZVOVEB6ChQsN0Tj99NO7U089tbvqqqvaMNsznvGMtvzAEDUxgUqh2LwZSxRsK6Z82cte1tvsxTFgljOPT8Ne8KUJG1Bio3PUbhcNYfnUpz7VOmmphDvf+c7d4Ycf3mbCS+yuhTZkCPxXv/rVjYnfIVi40BCMd73rXd1ZZ53V3ECJKLOCH/CAB7SksB4dwiOzIK+44oruO9/5Tgutjj322O41r3nNTKNT2xEibG6ERrTegtIwHNqmUMUIjTkti/YQCM0HP/jB7p3vfGcTPcdhWsfTn/70qfPHdOzCrSc96UntzgZDsNAcDe+EEdWo0cMf/vAWBgmZhELcUhVGcFxQxqZC/c2b8dlOzs/w4BQhEzc5ZXyFsQ8x6skfYD/ah+U7bEQEYP7MNJGRy5E89p3qxIdgoUIjBDITUf5BiGRIzmprceYTn/jEps6TpaZSW839yEc+sokN4dmp6CGdn9eUcRbXZ4g2aO6Zm8URGzm8mhbiWAjgarz33e9+t7v00kubMOqsh5xjttAao6w8Gqu1KazJR+4fQ1R4N4RFrOm9Kmb6yowbvrP9PDwav60YwRpbHmRsxxPGgc7Z6u3rrruuiQ6xUax3+vKXv9xsq4oBF+99+MMfbqmH8oAMhQ/FQoWG2ydWdLMqiuvkhU3riQdvxr1liA83kdBstTcpA1bpX/3qV7uvf/3r7VhcrDGh1wxhNUI2dmMBJNHRWRMZc8sqQezeTqecckr3xje+sQ22XHjhhd1XvvKVZmuigSFHzBYqNJRYBYGIyOBvZFimW8uUy7Cb1LcVj0aYJgn9/ve/vzvjjDO6L3zhC01svvnNb954PCGMmZqoJ3SqCXY6X7OC5WiIiI7bnBpFflPIRJjYjO3Z0FAsTGhUklEmaqwSnDih2chDEVfyZGo9x7SJfWtB3AgLkXGjrVe/+tXdG97whja643j0FCGMHYlcQ9SKUVdiI6/5ghe8oHvuc5/bVmY/5znPaYskpRss6WE3PHnroSSNCdFQLExozAI2XE1YKKuKmsVDsb0KM3txKx4NYVLBvsszMgfCcdSEuCEz8SHMAs9EIljYL88iX2kej7bMlqze9h4BEimY1PqYxzymiY0hcG1/KyJjmYPQ7OKLL+4+//nPd5/73Oe6z372s+1/9ryZfOJChIbXYMRJmMJD4fKpBOIxi4dSC8e2kjX3HXN0LIun/lS/7sURwnZA+GMumU5RKoFwiAjWGtbmvRAcXo0IgI3ZdrORgNyldANx+ehHP9p94AMfaPNxzIEzl8e9ug2dz0rvQiM/YkhbZVFIKqiyqDG1XYTBU3OV7j4cRM5QX5KuYbsgL6OTlqfRltkPAZHgXQ92xdPRQfPkN7MeiqAZrTJDnZNQHbw0hBEtI8dSD9YfSkjPslSmd6Fx0Nw+QiNP46C4e05+0UO5LhSEXxGasB3QSZsPo5MWOvFYZhkYITRyoATGtrOO1rJJ4sFmRRLmub30pS/tXvGKV3QveclL2ppEN8wifnKfhtDNaN9IbHoXGgdOBYVOciMqiyJ7vMoQxr7V4fEQhoDNMHxJYLdIITS8mY1yLmbamxYiCbwZO7OtDplAyffYR4VqFm6ecMIJ7T3b8GwMqHzta19rOc9p9G51DFslGc/njqmsrSSmQlhGeDKmYpx//vltwh4vwwRW4f9G8HwsVp51ol6Jh8SySbS1AJP4sGMeFC+JeMlzCsuEU6KVtWYnT9KL0BATySvTn00mosjcP6pXB2bCHLcwoz4hrE9N1DPyJM9Y4dAs1IjtrF687czHsX8e0XoC5XMiY99ESNi0URpk7kJDgT018pOf/GT3nve8p81dMR1ayAQVR6FlsS+44ILm6WzkdoWwrLAXRiyxa71fn3cuIDSEbCPkf4RwtX5qlikncxcaazEkh0zvl5eRVDJUdtBBB7WV2ubP8Hh8rpidS5xCCDeFfciBGJo2WkpsCM1m55L1AfHjzRAcOdeNpp7MXWjEdR7fYMW1G1qZiesOYG5Ypchcm8tiDZPkklcVGEL4f6wLFBXoiIUmDFrIYu7MrKFQX4hOOAccCIli00Y2WkfVyxHXg6xOOumkNhw2WU4++eQ2ZdpdwUyX3um3fghhs0isulWn5K/8Zt2Qn4GbIrKZUaQ+MDdO4lgIxX6NIG+UcO7FwgmHg+BOrVd8nvksIdyAkVm33DzzzDPbSuzPfOYz7X/5Trd3NWJr3oryjne8o/v4xz/eksRDwL4rnONUzDLrOK5E2BC9qV7MCKGebLLU+/PGb9qv/VcPuvo3FdvtBJyLSXDWEMnNCJd4C5YSSALLcQqdeDU1r2ajIeU+MGLst406ERlllohk4fcMHhJu59lnn929/vWvb/d89QhR4Zu1UGPAUyEM+5tuPoaEH0pkGDhWiwqPtLzXeVJC4rcdQxX4TY27yqLqyvEIEQwzu//uPL3xuqUDEdFOjTY59zpXv+381bN8jUEVS3hmGSWaF46BJ2XAR17V7yuzsFRCo8f40Ic+dBOhsdJVjDkGxig0GrteVMMv469GD0ag4ZuE6e95GF/9ph5bz15igzI8BsdlJ3Je52n06+G8+xKaSdQ1YV/LNOv8Z51LMy9cByNg5sW53rU6fFaWLnSavHj+XutihhvQqBm5ZKRGVoVrL1FJGL2aJq9HXs84NoPvExnLVuyb8MpPGH0xCdRvc92NyszrN8eG+Sl1o/7VpSbULRJ1XFNViKwoYDMig6USGg3SkJyKUzRUSh3WRy+uzniDXHqFwevZPDLnvPPOa0lJvbC6tP3N6eldF56Mhu3eJ+973/uaF2pypzU1hMax1LUjhFiER7OsuLZ1X2Lrn7YyaXBphMYkwo985CMtgy/G9Krhytm4+57ZyuF/EZqYai4noBezDsYamgrtytgnw6mtUt6T66PUjHHiYyEfd90N7N1iRGPXwwtliMxO82rGgvkyvEojTOa9SQJvhaUQGkYgycb101tqtJJoemrvc9E3e8ewZUB9EBQGbQREI6vnb9WQJiNXv8Tg5ogNkXFtNGxhkxDNPuUD6t5FJoMSOyJD/IQQcjXxZvqB0OuQrU9kM2YAb7Wul0ZoGMmBBx7YekRL3SWBPSHT8KFRJ0vv02D/F3VSo0olKiUsICwV7njdrNDUPuVlNGz5F6GZDsBnPCnJesJS+QlejGNSJEbD/JF3cwc9de3+M9Oedc/7tL0Qaz2W4ippkITEzZyPOeaY7ilPeUp7jOjTnva09vA6yS2xZ1gfAkJMKgHL6Hk7iveVypdshhIq+5V7USrZS9zckoAXQ2D8FvHxnSph/vAq3cLTrTzZDo/WSGjl6Kp4T37OpEKi5Bqux1INb4+dMQ5vg3HLxRAAPZc8iiLvpTfjFRJyIQ3PUS84S7OqUEsDtW/hEoHRiN1WhLeiNxUyWVNj3xr+UE3W8S5ieHtIhEmS/O6qoOOoEFWoTPgn0UHwRH1uukhNKlyLCM2IGLPQ8FjcFMmojzkzGh2hcV/ZmorO+5DLMTw7S7PSkDVW4iJUUuQBCIzcgByasFboxHXXs6qXCE0/uA5u7SJn6fln05Y4uEauldyNp8y+6lWvarm09YjQjIixCo1GJf7mHjtGhsa7kED3OA5hFK9DPoXo6NUY5TQ0O/vUuPWiPCZi5m/vmTejDky/JzSSwsqQOZmdLjSuCW/ykksuafXvWkyrb52NDkCi3oigjmA9IjRzhBtpGjkDUenTEmhrMWahEd7wMjRCz0R3K0fejSkCPmd8xMb7PJ5pQqPJ8WY0ZL0mgVFXPCHiJRksdCJmXHJCU7OAhzTuZQidIEejLbtOG52jz123yqGtR1L2c4LhCCVMLDOZzUQ2CTU9A+HYrmhswhtFQxKzExIGp0djfHIrwp5pycBJ1JVtFd8nIPZHTPyO+vLKg9GIve+3d6phjw2iL9/GO/U6rcidVUg7jQjNnBAGmM3KK/FUPzGuePdjH/tY6/W5pNvxlqWEQO+mMHhxuIZIZBTGTxh4IXV+0wTB/oiIbeVgCImGSmwIUIVP3idq21VknKMQUPJconvZidDMCYYiV8FoGAtPRlLNEKF7i7hHsrCD4GiE2yFiZdyO0/kQBSGSiY68D38TmnKZDUsTo2nYl1wMUebN+Nu+7MNv+R0FEo1CJ0Ljs+0kNM5Lkpx3awTn3HPPndnb26ns9n//ZeXvcDMgNJWb0CPXAkQ5B0lUr4aCzU5mpHprRjaJ3k8pox4axk0UnY/i/8l4nPEQTp+J681FMueFOKwW0tqXc1MMj9uHehAiMU5ejhyXz7jk9lWh2hiExjm5zo5JPmqtYyKivFi34dSxSJYbrfNd3yHOy0g8mjnCYKwFMswrC+9eqoZ79fYanGQqoRFanXPOOS2Xw/PhYgsblNUGOjSEs4TBsRFHxkYIS1wZXgkJr4ZX4nuT+K7PCJL6qJDJq32V0Pgtv8FzqqUOYxCZaRBaj4jluQiZTWBzXSW6nYs24VzH0HkMxZZHnaoX07jCDT02oWAs1upU3oLAaHQ8GsbHsCxK1FvXkgjDwkYyxPKedaVex9AoHYPzkeR2TkaUJAAJqnNxvLw15eKLL24zrQ1HEx4iVAlCTUz98OjsS9vRuwuP7IsA8eQklIUchErdmARIcIjZGHDOhM9TG80wh05CDs4EN2Gya240zvtGy9yo30S2E088sV33sYtmX2xaaBiTlc4qs4RmWStvNepBqRChhmoZj/riFYARyuhriMINHpC5CAybETK8MdSpY3DMJZQmZxFFvbRzJKYS4MTRkxQt7bB+jIAwSOdpH8IJ9aG9CLU0OcZKRGxHzOzDfWf8jmSzIXSTAImMbcaA465wz0RCtuC6EpgSGcPy5dnyaD3x0WOGnMsys2mh0WjcoU4FMwgqPwajGBOqVCNkWNxnMbreXHgAjVWeQ1jF4IiM0ZzJROtY0DMLBYR8hx9+eDtehs/rcH48HSJhOP/YY49ts0RLaCofYTu5F98RQjj3Oldi5HOhh+QpQWKUhx56aKsXHmB5RmPAtXUdHWd5oLwx9SQnJyy0do5n5zzUB9FcdjYtNBKAp5xySmt4/mZQEZqboj5Uq55ar09s9PyTIw+2YWxCKF6NUEFPWTmLoSmxZEA8GmGNW58SGuJANJwfI2NsEqBWxDOqCokIhH3wYpy/cxZ+ERtC5HPv+dwd/90biKcnnOQNlPc0FhwrT44wOh914uZcxGUSk/kIDaEsr1U9LDNbCp30cHoyhrM66RduQK9XN5vmUuuxhQWFXl1DFI7IV2iQREZPyWvUqIfEdXUsQjk9N1GpJQYEopK3PpN3cVMxHo/zMWIk5NG0fF8RghEXOZ5KjPoNhdB86Utfal4RgVEfvAHb+s4mm2hvuCbO2zkTX7kpIVOFxAXvlCDzWF3nZR1pmmRLyWCVrYGMpQGMBcZDJCwjIDDCS+JitEnDZLh6ew1RDK8hMlx/S3z6LnHiRQzt1ei5HYfOxHG71pKZ5rY4Nm3AZ3pzQuN2mzwevTeBMGJkGx6dtsILqpCJoMLnPCPbSKgajfOEU4lxnp66YqRjExrXSJ5SPsb1VT8+c16OWT25trw67w/daYyBLQlNmI6emdfHk6mhTvksPXWFSnIQen9GyQgZZiUV9fBD5yUcr7xShXuMiEiUN0KIiITeXOj03ve+t3kjbuvgnHg0DNBnvifh7dV3S0T9Bq9IbkMi2MjN0Ucf3YSYV6ROxig0cm6XXnppS/ITGkLqnJw3T0bHodTonChg2c0sQjNHGBZhEQZ45dEIMTVOhlM9NYM0OqNRltHB8gUh1hiEhnclDyHsYTB6auJROSTGQ2x8LoQ4/fTT2zCu0ZgKGWzDW/FdzwEiUpWrYLS+63OGy+sjzJ7FLkSTr6o8z1hwzJWjITByb66xPBXBVC86E9eZsPJsSpx1JsJA+1hGk4vQzAk9F5Ew5VwDlCz3nlBDD103h9LwqseeFBmMafU2ERAa8GicA6GQmGUs0GxKaHgt7373u9t5yTsRCUJTpZZmTOZbGJzQrIbHiZXzNheH0JQ3s7qOxoBrQ3B1Io5b6Kg4F8etM1FfREdy/JBDDmn1QGyc9zISoZkTerma8SsUYDQamyQvgTGSwouZxliEhkDqoYVxPBvnQUQYSh2XZmM7XhxRJTTmv+jJCRMvhpgKIRgZ0Zg0Mt9XZ9aD8WbUGVE57rjjmqEy5DF5M3DM6oCnIkTkzUwKjSJ/Q1B1KEYSjUCZ3MfLW+akcNY6zQmGwdUnEoZwaw7FUUcd1e5VrJfeCC64wniH6skZk9wJgXEuxIGHojD8Eguv/i/BIJC8m9qeOBGbtTwT3xFOEjMixRPwnsQ4j6hWh48R50FIJa1dYx2J3IxjJqrOXR2ou0qWO0eoE0K1jIzPL93GaGRu1GQOhREYM2W5zmOaC7IaBl4JS6EQkWEgRIAY+By2qTIJsWE8QiM5HGLrleF51bszzvoN+/QbRMlvGCpmlH7Hd+Fv2yr1+2PAsTgXIljH5bxd7+OPP74tNxAiS/a77jwfCXWhoXNcXXfLRDyaOaIB6u30bLwaPXp5ALMwhEdTRk0AFL/N+IUAXsErEf5MGorzcoy+a+TJ9gzLedeaKN8jQiUyNVJFyIRKksBGbnhE9k+chFslzI6tfmcMOB7no0ORf3FsVRy/Yxcu8XKcu/Mgns7LIlv1MrZwcFHEo5kjDEIIpZEpGuDYIQDCJMbPy5CgVYgHYfA58fG/V2K0umfmtcjNGG0RIhIcBkZ41YHtJ70Y+xdS2KftKvRghH7DNrb1HcewXXDNdTLycZZjeJSPaQz+J0BjDQcXQTyaETGER1NzYRSehUJ0GHiFRXryyf8dm7+JiM8qxCIwkp5EQ29uO9sQMvsnMPbv1TnaJ2G2vRCkPJkSODDOsYSea3k0a+F9olN1UV7eetsvA/FolhzGw6grN0MUGJNRE2Egg8GkN+M7ChgPsRA2MKyabzMZIviO79q3QtwICIPlCVWoxSjht2xHcFZ7T9sJ3poRR3OLlp0Mb4+IIYa3GTOjJgQEZz3DJihCJN4FIVrt0RAq79tm9bGXyJRQbSQe9msf5c3Y5xhw3I5HiLiTn4LQBxGaETHUPJrNNoG1DKz2sZ7xbbWZjcmYIzRbJ6FTaAajyKlMK7XdWkz7DPX5Wvtdr0zbX9heRGjCjfA6ppV5sNZ+1yth5xChCSH0ToQmhNA7EZoQQu9EaEIIvROhCSH0ToQmhNA7EZoQQu9EaEIIvROhCSH0ToQmhNA7EZoQQu9EaEIIvROhCSH0ToQmhNA7EZoQQu9EaEIIvROhCSH0ToQmhNA7EZoRkVtYjp9co60RoRkRdQPvuin35P8p4yphc+RxKyPCw+A9bsVzrD0FIIwPD8fzlMrDDjssgrMJIjQj46qrruquuOKK9nc9FjYMCxMhKp7p5MmaBx98cBOcMDsRmpHhiY/XX399ez61v8PwMBFP4fSIYI/9rad0htmJ0IwQT0Ssx8eGcUBYPJo3Ie3WiNCEEHon8hxC6J0ITQihdyI0IYTeidCEEHonQhNC6J0ITQihdyI0IYTeidCEEHonQhNC6J0ITQihdyI0IYTeidCEEHonQhNC6Jmu+w8itf41CRqGDAAAAABJRU5ErkJggg==)
A body of mass
is moving with a uniform speed of
on friction less surface under the influence of two forces
and
. The net power of the system is
![](data:image/png;base64,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)
physics-General
physics-
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure, which of the following statements is/are correct?
![](data:image/png;base64,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)
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure, which of the following statements is/are correct?
![](data:image/png;base64,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)
physics-General
physics-
A particle of a mass
is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at
, its velocity at
is
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)
A particle of a mass
is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at
, its velocity at
is
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)
physics-General
maths-
P is a point on the ellipse
, S and
are the focii of the ellipse then ![S P plus S to the power of l end exponent P equals](data:image/png;base64,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)
P is a point on the ellipse
, S and
are the focii of the ellipse then ![S P plus S to the power of l end exponent P equals](data:image/png;base64,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)
maths-General
physics-
As per given future to complete the circular loop what should be the radius if initial height is ![5 blank m](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486200/1/923095/Picture4.png)
As per given future to complete the circular loop what should be the radius if initial height is ![5 blank m](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486200/1/923095/Picture4.png)
physics-General
physics-
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486199/1/923080/Picture1.png)
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486199/1/923080/Picture1.png)
physics-General
maths-
The area of the region bounded by
and y=1 in sq. units is
![](data:image/png;base64,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)
The area of the region bounded by
and y=1 in sq. units is
![](data:image/png;base64,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)
maths-General
maths-
Area of the region bounded by
and y=2 is
![](data:image/png;base64,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)
Area of the region bounded by
and y=2 is
![](data:image/png;base64,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)
maths-General
maths-
The area bounded by
and y=0 in the second quadrant is
![](data:image/png;base64,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)
The area bounded by
and y=0 in the second quadrant is
![](data:image/png;base64,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)
maths-General
maths-
The area bounded by the two curves
is
![](data:image/png;base64,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)
The area bounded by the two curves
is
![](data:image/png;base64,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)
maths-General
maths-
The area bounded by y =
in [0,2
]
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)
The area bounded by y =
in [0,2
]
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)
maths-General
maths-
The area bounded by curve
and the ordinates x=0 and
is
![](data:image/png;base64,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)
The area bounded by curve
and the ordinates x=0 and
is
![](data:image/png;base64,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)
maths-General
maths-
The area bounded by the parabola
and the line 2x-3y+4=0, in square units, is
![](data:image/png;base64,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)
The area bounded by the parabola
and the line 2x-3y+4=0, in square units, is
![](data:image/png;base64,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)
maths-General
maths-
The area (in square units)bounded by the curves y=
a x is, and lying in the first quadrant is
![](data:image/png;base64,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)
The area (in square units)bounded by the curves y=
a x is, and lying in the first quadrant is
![](data:image/png;base64,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)
maths-General
maths-
The area under the curve y=
and above x-axis is:
![](data:image/png;base64,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)
The area under the curve y=
and above x-axis is:
![](data:image/png;base64,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)
maths-General