Question

A car of mass 2000 kg is accelerated from rest to 90 mph (equal to 40 m/s) in 15 seconds. Calculate the distance traveled by the car during the 15 seconds of acceleration.

a. 300 meters
b. 450 meters
c. 600 meters
d. 750 meters

Answer 1

The distance traveled by the car during the 15 seconds of acceleration is 300 meters.

Step-by-step explanation:

To calculate the distance traveled by the car during the 15 seconds of acceleration, we can use the formula:

distance = (initial velocity) * (time) + (1/2)(acceleration)(time²)

Since the car starts from rest, the initial velocity is 0. The acceleration can be calculated using the formula:

acceleration = (final velocity - initial velocity) / time

Substituting the given values into the equations, we get:

acceleration = (40 m/s - 0 m/s) / 15 s = 2.67 m/s²

distance = (0 m/s) * (15 s) + (1/2)(2.67 m/s²)(15 s)² = 300 meters