Mathematics

Problem

The displacement

s

(in metres) of a body at time

t

seconds is given by

s=(5t^{2}+1)^{3/2}.

Solve the following. a. (i) Obtain the velocity

v(t)

of the body in terms of

t

. Express your answer in its simplest form. b. (ii) Calculate the numerical value of the velocity at

t=2\,\text{s}

, correct to two decimal places. c. (iii) State the units of the quantity found in part (ii).