If the velocity v of a particle moving along a straight line decreases linearly with its position coordinate s from 50 m/s to a value approaching zero at s = 100 m, the time it takes to reach the 100

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If the velocity v of a particle moving along a straight line decreases linearly with its position coordinate s from 50 m/s to a value approaching zero at s = 100 m, the time it takes to reach the 100 m position will be:

TestHub · Accepted Answer

From the graph v = 50 − 2 s ​ , so d t d s ​ = 2 100 − s ​ and t = ∫ 0 100 ​ 100 − s 2 d s ​ = 2 [ ln 50 − ln 0 ] → ∞ . The particle reaches 100 m only asymptotically. Option C.

Physics - Kinematics Question with Solution | TestHub

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