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

###### Question:

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

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