00:01
Hi there.
00:03
So for this problem, we are told to suppose that a ball is rolling down a ramp.
00:08
And the distance traveled by their ball is given by the following function.
00:13
That function is that s of t is equal to 12 times the time square.
00:27
And where t is the time in seconds after the ball is released, and s of t is measured in 15.
00:36
For the given function, we need to find the pulse average velocity.
00:42
So for part a, the time one, or the initial time is 3, and the times 2 is 4.
00:59
So the average velocity, we obtained that average velocity by just evaluating the function of the position that we are given at the final time minus that function at the initial time and this divided by the interval of time, but in this case is 4 minus 3.
01:21
So now we just simply substitute this into the function, so that will be 12 times 4 to the square, this minus 12 times 3 to the square, and then this divided by 1.
01:41
So from this we will we obtained that the average speed is equal to 84 meters per second.
02:03
So that's a solution for part a of this problem.
02:09
Now for part b, we are asked about the average velocity but now is between the time 3 and 3 .5.
02:21
So we do the same as before.
02:24
So i'm going to put in here that will be 12 times the final time that is 3 .5...