Question

6.
A powerful motorcycle can accelerate from rest to 32 m/s in only 4s.
(a) What is its average acceleration?
(b) How far does it travel in that time?

Answer 1

a) initial velocity , u = 0 m/s

final velocity , v = 32 m/s

time = 4s

$\boxed{acceleration = \frac{v - u}{t} }$

$a \: = \frac{32 - 0}{4}$

$\\ a = \frac{32}{4}$

$a = 8 \: m {s}^{ - 2}$

b)

$\boxed{s = ut + \frac{1}{2} a {t}^{2}}$

$s = \frac{1}{2} \times 8 \times 16$

$s = 64 \: m$