Given that At full power, the same car can accelerate from 0 to 31 mph in time 1.5 s. How long would it take for the car to accelerate from 0 to 62.0 mph.
Energy= integral (P×dt) = Pt
therefore;
Since kinetic energy = 1/2 mv^2 = Pt
1/2m(31)² = 1.5 P
480.5 m = 1.5 P
P = 320.33 m
Using the other scenario
1/2m(62)² = 320.33mt
= 1922 m =320.33 mt
t = 6.0 sec