00:01
In this problem, we have been given that there is a sprinter of mass 51 kg.
00:07
And the sprinter starts from rest.
00:09
So its initial speed is zero meter per second.
00:13
And the sprinter runs for 50 meters in seven seconds.
00:20
And the sprinter is running at a constant acceleration.
00:23
That is what we are given.
00:24
Let's say the acceleration is a.
00:26
So here the displacement is 50 meters and the time in which the sprinter covers 50 meters, that is given as 7 seconds.
00:36
And here we are required to get the power output of the sprinter at t equal to 2 seconds, at t equal to 4 seconds, and at t equal to 6 seconds.
00:50
So here we simply use the idea that the power output, it is force times instantaneous velocity.
00:57
So that's the instantaneous power we get.
01:00
And the forces mass times acceleration.
01:03
So the power will become m into a into v.
01:07
And using the idea that the acceleration is the change in velocity with respect to t...