Answer
Please see the work below.
Work Step by Step
We know that
$Power \space available =0.27\times 370hp=99.9hp\times 746\frac{W}{hp}=74.5KW$
Now $v=\frac{60mi}{h}=\frac{60\times 1609\frac{m}{mi}}{1h\times 3600\frac{s}{h}}=26.8\frac{m}{s}$
Now $P=\frac{\Delta KE}{t}$
This can be rearranged as:
$t=\frac{\Delta KE}{P}$
$t=\frac{\frac{1}{2}mv^2}{P}$
We plug in the known values to obtain:
$t=\frac{\frac{1}{2}1200(26.8)^2}{74.5\times 10^3}$
$t=5.8s$
