science
Grade-11
Easy
Question
If the river's width is 4 m and the angle of the drift is 30 degrees, the velocity of the person on the boat concerning the river is 3 m/s. Find the time taken to cross the river.
- 3.2
- 1.5
- 2.6
- 6.3
Hint:
1.5 s
The correct answer is: 1.5
Given:
Speed of the person on the boat (Vp) = 4ms-1
The angle of drift (
) = ![30 to the power of ring operator](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAQCAYAAAB3AH1ZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAARdJREFUeNpjYKA96ADiT1DcwUBnALLwKBBLQvFhejviC9RiGJCEhgQGcATibUD8DYh/APEtIJ4AxMJY1PIB8TQgPgnFM6FiFDlgPxAHATEbkpgBEO/AonYvEPsh8X2gYsREwVFSowDdtaFAPAmLOlBoReJxxBcoJslyJSC+gSa2BojdcEThGmolHHEgToSmAy80uXdo0QQDILGXlFr8Hw0XYFHzB4/+X9QKAUEgDoCmcHsSHPCD2nmYB+oIZPASRxRwUCMKiPEVKKF5YFHnRs1ECAN60ISIDEBlxWwsaufjyYZEgYPQPM4CxEzQbHUfiONxFFoFULWg6KiG6qcI2ALxFmiQ/4Ba4oMnkc6FqvsGLYp5GIYqAABFkkKbG5e10wAAAGh0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bW4+MzA8L21uPjxtbz4mI3gyMjE4OzwvbW8+PC9tc3VwPjwvbWF0aD6ggEL1AAAAAElFTkSuQmCC)
Width of the river = 4m
To find:
Time taken =?
Solution:
By using the trigonometric function,
![C o s theta space equals space B over H
C o s 30 space equals space 4 over h
h space equals space fraction numerator 4 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction space equals space 4.7 m space
B y space u sin g comma space
S p e e d space equals space fraction numerator d i s tan c e space over denominator t i m e end fraction
3 m s to the power of negative 1 end exponent space equals space fraction numerator 4.7 over denominator t i m e end fraction
t i m e space equals space fraction numerator 4.7 over denominator 3 space end fraction space equals space 1.5 s](data:image/png;base64,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)
Answer:
Time taken to cross the river = 1.5s
Related Questions to study
science
Let us consider two cars, A and B, are moving with constant acceleration 4 m/s2 and constant velocity 6 m/s with t = 0 s, both cars are 20 m apart, car A is behind car B, find the time when car A overtakes car B.
Let us consider two cars, A and B, are moving with constant acceleration 4 m/s2 and constant velocity 6 m/s with t = 0 s, both cars are 20 m apart, car A is behind car B, find the time when car A overtakes car B.
scienceGrade-11
science
Let us consider two cars, A and B, are moving with a constant acceleration of 2 m/ s2 and a constant velocity of 3 m/s with t=0 s. Bo the cars are 12 m apart, car A is behind car B. Find the time when car A overtakes car B.
Let us consider two cars, A and B, are moving with a constant acceleration of 2 m/ s2 and a constant velocity of 3 m/s with t=0 s. Bo the cars are 12 m apart, car A is behind car B. Find the time when car A overtakes car B.
scienceGrade-11
science
If a body moved to a displacement of 4 m in 2 s. Find the velocity of the body.
If a body moved to a displacement of 4 m in 2 s. Find the velocity of the body.
scienceGrade-11
science
An observer is watching a car moving with constant velocity. He assumes the person is at rest.
An observer is watching a car moving with constant velocity. He assumes the person is at rest.
scienceGrade-11
science
If a dog swims across the river with 3 m/s and the river's speed is 4 m/s. Find the velocity of the dog.
If a dog swims across the river with 3 m/s and the river's speed is 4 m/s. Find the velocity of the dog.
scienceGrade-11
science
If a boat moves on the river with the speed of 50 km/h and also moves in other directions relatively with a speed of 30 km/h. What is the speed of the boat?
If a boat moves on the river with the speed of 50 km/h and also moves in other directions relatively with a speed of 30 km/h. What is the speed of the boat?
scienceGrade-11
science
Relative motion can be used to evaluate ________.
Relative motion can be used to evaluate ________.
scienceGrade-11
science
Newton’s laws are not applicable in ___________.
Newton’s laws are not applicable in ___________.
scienceGrade-11
science
If a man jumps out of running train, then ____________.
If a man jumps out of running train, then ____________.
scienceGrade-11
science
Drawing a diagram and explaining the motion is called as ________
Drawing a diagram and explaining the motion is called as ________
scienceGrade-11
science
On Earth, if a body is in the car and the car is moving with the uniform velocity, then the body in the vehicle is ___
On Earth, if a body is in the car and the car is moving with the uniform velocity, then the body in the vehicle is ___
scienceGrade-11
science
Concerning the motion, there are ______ Newton’s laws.
Concerning the motion, there are ______ Newton’s laws.
scienceGrade-11