Displacement of a body is given by $\mathrm{x}=3 \mathrm{t}^2$ meters. Its velocity at $\mathrm{t}=5

Question

Displacement of a body is given by $\mathrm{x}=3 \mathrm{t}^2$ meters. Its velocity at $\mathrm{t}=5 \mathrm{~s}$ is

Professor PC Thomas Classes · Answer

Velocity $v = \frac{dx}{dt} = \frac{d}{dt}(3t^2) = 6t$. At $t=5\mathrm{s}$, $v = 6(5) = 30 \mathrm{m/s}$.