First slide

Rectilinear Motion

Question

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

Difficult

A

Increasing acceleration
B

Decreasing acceleration
C

Increasing retardation
D

Decreasing retardation

Solution

$\begin{array}{l} s = k t^{1 / 2} \Rightarrow a = \frac{d^{2} s}{d t^{2}} = - \frac{1}{4} k t^{- 3 / 2} \\ As t increases, retardation decreases. \end{array}$

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