The position of a particle at any instant $t$ is given by $x = a$ cos $\omega t$. The speed-time graph of the particle is

Question

Dr. Abubacker · Accepted Answer

(c) $	herefore\ x = a$cos $\omega t$
$	herefore v = \frac{dx}{dt} = - a\omega\sin{\omega t}$
The instantaneous speed is given by modulus of instantaneous velocity.
$	herefore\ \ \ $speed$= |u| = \left| - a\omega\sin{\omega t} ight|$
Hence, (c) is correct.

Q. The position of a particle at any instant $t$ is given by $x = a$ cos $\omega t$. The speed-time graph of the particle is

Explanation

Reviewed by Dr. Abubacker

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