First slide

Instantaneous acceleration

Question

The distance travelled by a particle is directly proportional to t^1/2, where t = time elapsed. What is the nature of motion ?

Easy

A

Increasing acceleration
B

Decreasing acceleration
C

Increasing retardation
D

Decreasing retardation

Solution

$\begin{array}{l} s = {kt}^{1 / 2} \\ \frac{d^{2} s}{{dt}^{2}} = - \frac{1}{4} {kt}^{- 3 / 2} \end{array}$
As ‘t’ increases, the retardation decreases.

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