Question

Starting from rest, a car travels 18 meters as it accelerates uniformly for 3.0 seconds. What is the magnitude of the car's acceleration? A. 6.0 m/s2 B. 2.0 m/s2 C. 3.0 m/s2 D. 4.0 m/s2​

Answer 1

D. 4 m/s²

Step-by-step explanation:

Given;

initial velocity of the car, u = 0

distance traveled by the car, s = 18 m

time of motion of the car, t = 3.0 s

The magnitude of the car's acceleration is given by;

s = ut + ¹/₂at²

s = 0 + ¹/₂at²

s = ¹/₂at²

2s = at²

a = 2s / (t²)

a = ( 2 x 18) / (3²)

a = 4 m/s²

Therefore, the magnitude of the car's acceleration is 4 m/s²