Question

A car has an initial velocity of 10m/s. It accelerates at a rate of 2m/s2 until it reaches 30m/s. How far does it travel and for how long?

Answer 1

after 10 seconds, the car reaches 30m/s and travels 200 m

Step-by-step explanation:

final velocity = initial velocity + acceleration • time

30 m/s = 10 m/s + 2 m/s/s • time

subtract 10m/s from both sides

20 m/s = 2m/s/s • time

divide each side by 2m/s

10 s = time

d = 1/2 acceleration • time^2 + initial velocity • time

d = 1/2 • 2m/s/s • 10s^2 + 10m/s • 10s

d = 1 • 100m + 100m

d = 200m