Question

Starting from rest, a car accelerates around a circular track. In 25 seconds, it returns to the starting point with an instantaneous speed of 45 m/s. What is the average acceleration of the car during these 25 seconds?

Answer 1

The average acceleration of the car during the 25-second time interval is 1.8 m/s².

Step-by-step explanation:

To find the average acceleration of the car, we need to consider the change in velocity over the time taken. In this case, the car returns to its starting point, implying the displacement is zero. However, the question asks for average acceleration, which can still be calculated even with zero displacement.

The initial velocity (vi) is 0 m/s (as the car starts from rest), and the final velocity (vf) is 45 m/s when it returns to the start point after 25 seconds. Using the average acceleration formula a = (vf - vi) / t, where t is the time period:

a = (45 m/s - 0 m/s) / 25 s = 1.8 m/s2

Therefore, the average acceleration of the car during these 25 seconds is 1.8 m/s2.