A driver driving along a highway at a steady 65 mph (96 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 288 ft? To find out, carry out the following steps. (1) Solve the following initial value problem. -k (k constant), with dr? ds = 96 and s = 0 when t= 0 dt ds (2) Find the value of t that makes =0. (The answer will involve k.) dt (3) Find the value of k that makes s = 288 for the value of t found in the step (2). (1) s =D ds (2) t =D, when dt = 0 (3) When s = 288 for the value of t found in the step (2), k =

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