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Questions  

A ball is projected vertically upwards with an initial velocity. Which of the following graphs [Fig. (3)] best represents the K.E. of the ball as a function of time from the instant of projection till it reaches back the point of projection ?

a
b
c
d

detailed solution

Correct option is C

, Kinetic energy at time t = 0 is given by (K.E.)t=0=12mv02 Kinetic energy at time t = t is given by  (K.E.) t=t=12mvt2 =12mv0−gt2 ∵ vt=v0−gt =12mv02+g2t2−2v0gt Equation of parabola.

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A running man has half the kinetic energy than a boy of half his mass has. The man speeds up by I m/sec and then has the same kinetic energy as the boy. What were the original speeds of man and boy respectively?


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