Physics-
General
Easy

Question

The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 blank s e c are respectively

  1. 8 blank m comma blank 16 blank m    
  2. 16 blank m comma blank 8 blank m    
  3. 16 blank m comma blank 16 blank m    
  4. 8 blank m comma blank 8 blank m    

The correct answer is: 8 blank m comma blank 16 blank m


    Displacement = Summation of all the area with sign
    equals open parentheses A subscript 1 end subscript close parentheses plus open parentheses negative A subscript 2 end subscript close parentheses plus open parentheses A subscript 3 end subscript close parentheses equals open parentheses 2 cross times 4 close parentheses plus open parentheses negative 2 cross times 2 close parentheses plus open parentheses 2 cross times 2 close parentheses

    therefore D i s p l a c e m e n t equals 8 blank m
    Distance = Summation of all the areas without sign
    equals open vertical bar A subscript 1 end subscript close vertical bar plus open vertical bar negative A subscript 2 end subscript close vertical bar plus open vertical bar A subscript 3 end subscript close vertical bar equals open vertical bar 8 close vertical bar plus open vertical bar negative 4 close vertical bar plus open vertical bar 4 close vertical bar equals 8 plus 4 plus 4
    therefore D i s t a n c e equals 16 blank m

    Related Questions to study

    General
    maths-

    The area bounded by y equals e to the power of x end exponent, Y-axis and the line y=e is

    The area bounded by y equals e to the power of x end exponent, Y-axis and the line y=e is

    maths-General
    General
    maths-

    If 32 Tan to the power of 8 theta equals 2 Cos squared space alpha minus 3 cos space alpha text  and  end text 3 cos space 2 theta equals 1 then the general value of 'α ' is

    If 32 Tan to the power of 8 theta equals 2 Cos squared space alpha minus 3 cos space alpha text  and  end text 3 cos space 2 theta equals 1 then the general value of 'α ' is

    maths-General
    General
    maths-

    The parabolas y to the power of 2 end exponent equals 4 x comma x to the power of 2 end exponent equals 4 y divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If S subscript 1 end subscript comma S subscript 2 end subscript comma S subscript 3 end subscript are respectively the areas of these parts numbered from top to bottom then S subscript 1 end subscript colon S subscript 2 end subscript colon S subscript 3 end subscript is

    The parabolas y to the power of 2 end exponent equals 4 x comma x to the power of 2 end exponent equals 4 y divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If S subscript 1 end subscript comma S subscript 2 end subscript comma S subscript 3 end subscript are respectively the areas of these parts numbered from top to bottom then S subscript 1 end subscript colon S subscript 2 end subscript colon S subscript 3 end subscript is

    maths-General
    parallel
    General
    physics-

    The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are n lambda and left parenthesis n plus 2 right parenthesis lambda respectively, where n is a whole number and lambda is the wavelength. Taking the central fringe as zero, what is formed at X

    The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are n lambda and left parenthesis n plus 2 right parenthesis lambda respectively, where n is a whole number and lambda is the wavelength. Taking the central fringe as zero, what is formed at X

    physics-General
    General
    maths-

    If gamma Sin space theta equals 3 comma gamma equals 4 left parenthesis 1 plus Sin space theta right parenthesis comma 0 less or equal than theta less or equal than 2 pi then theta = ---

    If gamma Sin space theta equals 3 comma gamma equals 4 left parenthesis 1 plus Sin space theta right parenthesis comma 0 less or equal than theta less or equal than 2 pi then theta = ---

    maths-General
    General
    physics-

    A particle starts from rest. Its acceleration open parentheses a close parentheses blank v e r s u s time open parentheses t close parentheses is as shown in the figure. The maximum speed of the particle will be

    A particle starts from rest. Its acceleration open parentheses a close parentheses blank v e r s u s time open parentheses t close parentheses is as shown in the figure. The maximum speed of the particle will be

    physics-General
    parallel
    General
    physics-

    In figure, one car at rest and velocity of the light from head light is c, tehn velocity of light from head light for the moving car at velocity v, would be

    In figure, one car at rest and velocity of the light from head light is c, tehn velocity of light from head light for the moving car at velocity v, would be

    physics-General
    General
    maths-

    If α and β are two different solutions lying between fraction numerator negative pi over denominator 2 end fraction and  of the equation 2 Tan space theta plus Sec space theta equals 2 then Tan α + Tan β is

    If α and β are two different solutions lying between fraction numerator negative pi over denominator 2 end fraction and  of the equation 2 Tan space theta plus Sec space theta equals 2 then Tan α + Tan β is

    maths-General
    General
    physics-

    A particle of mass m is initially situated at the point P inside a hemispherical surface of radius r as shown in figure. A horizontal acceleration of magnitudea subscript 0 end subscriptis suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

    A particle of mass m is initially situated at the point P inside a hemispherical surface of radius r as shown in figure. A horizontal acceleration of magnitudea subscript 0 end subscriptis suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

    physics-General
    parallel
    General
    physics-

    A cyclist starts from the centreO of a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference and returns to the point O as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are

    A cyclist starts from the centreO of a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference and returns to the point O as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are

    physics-General
    General
    physics-

    A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by O A B and C D respectively Then

    A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by O A B and C D respectively Then

    physics-General
    General
    physics-

    Assertion : Owls can move freely during night.
    Reason : They have large number of rods on their retina.

    Assertion : Owls can move freely during night.
    Reason : They have large number of rods on their retina.

    physics-General
    parallel
    General
    physics-

    A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

    A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

    physics-General
    General
    Maths-

    The area bounded by y=3x and y equals x to the power of 2 end exponent is

    So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.

    The area bounded by y=3x and y equals x to the power of 2 end exponent is

    Maths-General

    So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.

    General
    Maths-

    The area bounded by y equals x squared plus 2 comma X- axis, x=1 and x=2 is

    So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.

    The area bounded by y equals x squared plus 2 comma X- axis, x=1 and x=2 is

    Maths-General

    So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.