3.5.1 Differentiation (A-level only)

A particle’s displacement, $s$ metres, from a fixed origin at time $t$ seconds, is given by the equation

s = 4e^{0.2t}

Find an expression for the velocity, $\text{ m s}^{-1}$ , of the particle at time $t$ seconds.

Select the correct answer from the options below:

$v = 20e^{0.2t}$

$v = 0.8e^{0.2t}$

$v = 0.8te^{0.2t}$

$v = 0.5e^{0.2t}$

[3]