Answer
a)$a = 2.68 m/s^2$
b) $ a= \frac{67}{245}g$
c) $134.1 m \\ 440 feet$
Work Step by Step
$1 mile =1.609km =1609m$
$1mile = 5280 feet$
$v_i =0 , v_f=60mph =\frac{60}{3600}miles/s = \frac{1}{60}miles/s$
$ t=10 s$
$ a=\frac{ v_f -v_i}{t} = \frac{1}{600} miles/s^2$
a) $a=\frac{1}{600} * 1609 m/s^2$
$a = 2.68 m/s^2$
b) $ \frac{a}{g} =\frac{2.68}{9.8} = \frac{67}{245}$
$\implies a= \frac{67}{245}g$
c) we have
$ s = ut +\frac{1}{2}at^2$
$s = 0 +\frac{1}{2}(\frac{1}{600}(10)^2 miles$
$s = \frac{1}{12}miles$
$s = \frac{1}{12} * 1609 m= 134.1 m$
$s =\frac{1}{12}* 5280 feet = 440 feet$
