If a 1500 kg car can accelerate from 35 km/h to 55 km/h in 3.2 s, how long will it take to accelerate from 55 km/h to 100 km/h? assume the power stays the same, and neglect frictional losses

The question above can be answered by using the equation below,

PΔt = 1/2 (mv²)

From the first case, we solve the power.

P (3.2s) = 0.5 (1500) (55² - 35²)

This gives us a value of P which is 421875.

Using this same power to solve for t in the second scenario,

421875 * t = 0.5 (1500) (100²-55²)

The value of t is 12.4 s.