A sports car with a very powerful engine driving on a surface with a coefficient of static

Question

friction µs = 0.8 wants to accelerate from a stop to 100 km/hr. (You may neglect air
resistance.)

a) What is the fastest that the car can accomplish this?
b) How far will the car travel in this time?
c) Suppose that the mass of the car is 1500 kg. What is the maximum power output required
from the engine in order to accomplish this?

Answer 1

change 100km/hr to m/s

vf=at=Force/mass * t
vf=mu*mg/m *t=mu*g*t
solve for t

b. d=1/2 a t^2

c. power=energy/time
= (force*distance)/time=mu*mg*d/time

now notice d/time is avg velocity=vf/2

This all ignores rolling friction, or kinetic

Answer 2

Thank you! Would you know how do this question if it was going up a 10 degree incline?