A car company advertises that their car can decelerate using the powerful breaks of the car at a maximum rate of 2300 mph/minute. If you drive the car at 50 mph, how long will it take you to come to a full stop, in seconds?

Question

Quizplus · Accepted Answer

Step 1: Find the change in time
First, begin with the acceleration formula:
Acceleration (a) = Change in Velocity (dV) / Change in Time (dt)
a = dV / dt
To solve for the change in time, dt, multiply both sides by dt
a × dt = dV
Then divide both sides by acceleration to isolate the change in time.
dt = dV/a
dt = 50/2300
dt = 0.0217 minute
Step 2: Convert units:
0.0217 minutes × 60 seconds = 1.3 seconds

A Car Company Advertises That Their Car Can Decelerate Using