Click play to watch the video. answer the ungraded questions in the video and the graded follow-up questions at right. part a two racecars are driving at constant speeds around a circular track. both cars are the same distance away from the center of the track, but car 2 is driving twice as fast as car 1. the acceleration of car 2 is the acceleration of car 1. a) equal to b) a quarter of c) twice d) four times e) half of

d) four times

Explanation:

The centripetal acceleration of an object in circular motion is defined by the equation

where

v is the speed of the object

r is the radius of the circular path

Calling the speed of car 1, its acceleration is:

While the acceleration of car 2 is

However, we know that the speed of car 2 is twice as that of car 1:

So substituting into the previous equation,

So, acceleration of car 2 is 4 times the acceleration of car 1.

more than, less

less than, more