A car has an acceleration of #8# #m##/s^2#. How much time is needed for it to reach a velocity of #24# #m##/s# if it starts from rest? How far does it go during this period?

1 Answer
Aug 24, 2016

3 seconds (from 0 to end of 3rd second) needed and total distance taken between 0th and 3rd seconds will be 48 m

Explanation:

In the first second: 8 m/s (speed)
In the second second: 16 m/s
In the third second: 24 m/s

Then at the end of the 3rd second this car will reach 24 m/s (speed).

In the first second it takes 8 m (distance), during the second second it takes 16 meters more and during the third second it takes 24 meters more. When you add these up, you will get 48 meters (total distance).