Question

A car is traveling with an initial velocity of 15 m/s when the driver decides to go faster by accelerating at 5 m/s2 for 10 seconds. How far did the car travel during this time?
70 m


300 m


175 m


400 m

Answer 1

Answer: Time needed: 2.5 s

Distance covered: 31.3 m

Explanation:

I'll start with the distance covered while decelerating. Since you know that the initial speed of the car is 15.0 m/s, and that its final speed must by 10.0 m/s, you can use the known acceleration to determine the distance covered by

 

on one side of the equation and solve by plugging your values

To get the time needed to reach this speed, i.e. 10.0 m/s, you can use the following equation

Explanation: