Question

a particle moves in a straight line so that s=root t then its acceleration is propotional to

Answer 1

A particle moves in a straight line so that s = √t

Velocity, v = ds/dt = d(√t)/dt = 1/2√t

Acceleration, a = dv/dt = -1/4 t^(-1.5)

Thus, acceleration is proportional to t^(-1.5)

Answer 2

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A particle moves in a straight line so that s = √t

Velocity, v = ds/dt = d(√t)/dt = 1/2√t

Acceleration, a = dv/dt = -1/4 t^(-1.5)

Thus, acceleration is proportional to t^(-1.5)