# A driver driving along a highway at a steady 45 mph â€‹(66 â€‹ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 242 â€‹ft? To findâ€‹ out, carry out the following steps. â€‹(1) Solve the following initial value problem. StartFraction d squared s Over dt squared EndFraction equals negative k â€‹(k constant), with StartFraction ds Over dt EndFraction equals66 and sequals0 when tequals0 â€‹(2) Find the value of t that makes StartFraction ds Over dt

###### Question:

A driver driving along a highway at a steady 45 mph â€‹(66 â€‹ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 242 â€‹ft? To findâ€‹ out, carry out the following steps. â€‹(1) Solve the following initial value problem. StartFraction d squared s Over dt squared EndFraction equals negative k â€‹(k constant), with StartFraction ds Over dt EndFraction equals66 and sequals0 when tequals0 â€‹(2) Find the value of t that makes StartFraction ds Over dt EndFraction equals0. â€‹(The answer will involveâ€‹ k.) â€‹(3) Find the value of k that makes sequals242 for the value of t found in the stepâ€‹ (2).

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