Kinematics 5 Question 10

12. A train is moving along a straight line with a constant acceleration a. A boy standing in the train throws a ball forward with a speed of 10m/s, at an angle of 60 to the horizontal. The boy has to move forward by 1.15m inside the train to catch the ball back at the initial height. The acceleration of the train, in m/s2, is.

(2011)

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Answer:

Correct Answer: 12. 5ms2

Solution:

  1. t=T=2usinθg=2×10×sin6010=3s

Displacement of train in time t=12at2

Displacement of boy with respect to train =1.15m

Displacement of boy with respect to ground

=1.15+12at2

Displacement of ball with respect to ground =(ucos60)t To catch the ball back at initial height,

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