The displacement of a body is expressed as metres.

MATHEMATICS · Multi-part · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The displacement of a body is expressed as

x = 5 t - 3 t^{2} + t^{3}

metres. (i) Write the expression for its instantaneous velocity

v(t)

. (ii) Determine

v

t = 2\,\text{s}