Suppose the ball is rolling down a ramp. The distance traveled by the ball is given by the function South of T equal 4T squared, where T is the time in seconds after the ball is released and St. is measured in feet. Find the ball's average velocity in each of the following time intervals. Basically, all this is really asking us to do is to find a slope. So if we know that our T is 4, we're going to put 4IN for the four t ^2. Compute that and we get 64. Now we want to know five, so we're going to put in five in for the T as a 5 is going to give us 4 * 5 ^2 or 100. Now we really have two points. We have the .100 when time was five and the distance of 64 when time was four. So just change of YS over change of XS. For the second part, we're going to have our one T value is 4, but the other T value is 4.5, so we need to find S of 4.5. Plugging it in, we get 81 and then we just find the slope. The change of Y is over the change of X's and simplify for part C same concept. So now we're going to find S of four point O1 and use our original S of four. We're going to do the change of S divided by change of T or find the slope. Now it says to type an exact answer. Well, the exact answer would really be 801 / 25. But then it says using integers or decimals. So the approximate using a decimal is 32.04 and Part D You're going to do the same concept.