First slide

Rectilinear Motion

Question

If x denotes displacement in time t and x=asint then acceleration is

Easy

A

$a \cos t$
B

$- a \cos t$
C

$- a \sin t$
D

$a \sin t$

Solution

$G i v e n t h a t d i s p l a c e m e n t x = a \sin t$
$\begin{matrix} ∴ Velocity V = \frac{d x}{d t} \\ = a \cos t \\ ∴ acceleration a = \frac{d v}{d t} \\ = - a \sin t \end{matrix}$

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