Assignment7: Problem 10 Previous Problem Problem List Next Problem (1 point) This is a related rates problem with a twist. Light H rock h d Shadow Suppose you have a street light at a height H . You drop a rock vertically so that it hits the ground at a distance d from the street light. Denote the height of the rock by it. The shadow of the rock moves along the ground. Let s denote the distance of the shadow from the point where the rock impacts the ground. Of course, s and h are both functions of time. To enter your answer Into WeBWork use the notation u to denote h': U = h. Then the speed of the shadow at any time while the rock is in the air is given by s = (where s' is an expression depending on h. s. H, and v (You will find that d drops out of your calculation.) Now consider the time at which the rock hits the ground. At that time h =s=0. The speed of the shadow at that time is s' = where your answer is an expression depending on H, v, and d. Hint: Use similar triangles and implicit differentiation. For the second part of the problem you will need to compute a limit