Question

10.A car accelerates uniformly from rest to a speed of 30.0 mi/h in 11.0 s.

(a) Find the distance the car travels during this time.

 m

(b) Find the constant acceleration of the car.

 m/s²

Answer 1

Given:

$v=30\:\rm mi/h=13.4\;\rm m/s$

$t=11.0\:\rm s$

(a)

$$d=\frac{v+v_0}{2}t=\frac{0+13.4}{2}*11.0=74\;\rm m$$

(b)

$$a=\frac{\Delta v}{\Delta t}=\frac{13.4}{11.0}=1.22\:\rm m/s^2$$