# Question bed07

Oct 20, 2017

3.67 seconds.

#### Explanation:

First we need to convert those speeds to m/s.

55 "miles"/h * (1609 m)/(1 "mile") * (1 h)/(3600 s) = 24.6 m/s

60 "miles"/h * (1609 m)/(1 "mile") * (1 h)/(3600 s) = 26.8 m/s#

Right 0.6$m {s}^{-} 1$ faster every second right. that's what acceleration is the change in velocity over a period of time or $a = \frac{\Delta V}{t}$

We know a which is 0.60$m {s}^{-} 2$
So rearrange $a = \frac{\Delta V}{t}$ for time,

$t = \frac{\Delta V}{a}$ or
$t = \frac{\left(26.8 - 24.6\right) \frac{m}{s}}{0.6 \frac{m}{s} ^ 2}$ which = 3.67s