A car is at rest at the top of a driveway that has a slope of 12.5°. If the brake of the car is released with the car in neutral gear find: a. the acceleration of the car down the drive. b. the time it takes for the car to reach the street, 8.0m away.

angle of inclination, θ = 12.5°

initial velocity, u = 0 m/s

distance, s = 8 m

(a) acceleration, a = g Sinθ

a = 9.8 x Sin 12.5°

a = 2.12 m/s²

(b) Let t be the time taken to reach the street.

Use II equation of motion

s = ut + 1/2 at²

8 = 0 + 0.5 x 2.12 x t²

t = 2.75 second