00:01
We know that average acceleration is given by change in velocity over changing time.
00:12
Now using this expression we will find the acceleration over each interval of time.
00:21
So from 0 to 2 seconds acceleration is 0 because velocity is same.
00:29
From 2 to 4 seconds acceleration is 1 meter per second square from 4 to 6 this is 1 .5 meter per second square similarly let's calculate for all the intervals so i'll just write the values to save term to save some time let's just write a for the acceleration for the average acceleration.
01:21
So for 6 to 8 this is 2 .5 meter per second square.
01:29
From 8 to 10 this is again 2 .5 meter per second square.
01:41
For 10 to 12 this is again 2 .5 meter per second square.
01:46
And for the rest of the intervals, is 1 meter per second scale and again from 14 to 16 velocity is constant so acceleration is 0 now for part b sorry as you can see from these values the acceleration is not constant over the entire 16 seconds time interval it is only constant between 6 seconds and 12 seconds so it is constant over this area as you can see so that is that falls between six seconds and 12 seconds.
02:37
Now for the second part we will draw a graph of vx versus t.
02:51
Now my graph won't be true to scale but i'll just write down the parameters that we are going to use.
03:01
So at t equal to 9 seconds, we have acceleration to be equal to 2 .5 meter per second square because it is constant from 6 to 12.
03:17
T equal to 13 seconds.
03:21
Acceleration is, sorry, acceleration is 1 meter per second square and t equal to 15 seconds.
03:35
So basically in this entire acceleration is 0.
03:41
Now, velocity, acceleration is constant like at this point when velocity changes at a constant rate...