Question

A particle executing linear $\text{SHM}$ is represented by the equation $x=\text{A cos}\omega t$. Which of the following graphs correctly represent the variation of velocity$\left(v\right)$ with time$\left(t\right)$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Given,
$x=\text{A cos}\omega t$
Differentating on both sides w.r.t 't'
$\frac{dx}{dt}=v=-A\omega \text{sin}\omega t$
At $t=T;v=0$
At $t=0;v=0$ ; only option (d) describes all the conditions correctly.
Hence, option (d) is correct.