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Question

Is the statement, “The time taken by a body to reach the highest point is equal to the time taken by the body to fall from the same height” true?


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Solution

True, the time taken by a body to reach the highest point is equal to the time taken for the body to fall from the same height.

Step 1: Time is taken by the body to rise to the highest point.

We know,

v=u+at0=u-gt,t=ugFrom,v2-u2=2as0-u2=(-g)h,h=u22g

this is the maximum height.

Step 2: Time is taken by the body to fall the to ground.

s=ut+12at2u22g=0+12gt2t2=u2g2,t=ugwhichissameasin(1)above

Hence, both take the same time.


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