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Q.

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 ?

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a

b

c

d

answer is C.

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Detailed Solution

, 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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