Answer:
6 s
Explanation:
given,
Sports car accelerate from 0 to 30 mph in 1.5 s
time taken to accelerate 0 to 60 mph = ?
The power of the engine is independent of velocity and neglecting friction
power =
P = constant
the kinetic energy for 60 mph larger than this of 30 mph
= [tex]\dfrac{\dfrac{1}{2}mv_1^2}{\dfrac{1}{2}mv_2^2}[/tex]
= [tex]\dfrac{v_1^2}{v_2^2}[/tex]
= [tex]\dfrac{60^2}{30^2}[/tex]
= 4
gain in kinetic energy = P x t
time = 4 x 1.5
= 6 s