Question

A 1500 kg car is accelerated by a force of 2000 N for 15 s.

What is the acceleration of the car?


If the car started at rest, how fast is the car going after 15s? (1pts)


How far (∆x) would the car have traveled after the 15s? (1pts)

Answer 1

By Newton's second law, the car has acceleration a such that

2000 N = (1500 kg) a

a = (2000 N) / (1500 kg)

a = 4/3 m/s² ≈ 1.33 m/s²

After 15 s, the car will attain a speed of

(4/3 m/s²) (15 s) = 20 m/s

It will have traveled a distance ∆x such that

(20 m/s)² - 0² = 2 (4/3 m/s²) ∆x

∆x = (20 m/s)² / (8/3 m/s²)

∆x = 150 m