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A car is traveling at 60 mph on a 4% downgrade. Then, the driver sees a...

A car is traveling at 60 mph on a 4% downgrade. Then, the driver sees a fallen tree 250 ft ahead. The driver applies the brakes but still crashes into the tree. The skid marks were found to be 100 ft long, and the coefficient of braking was found to equal 0.50. Neglect aerodynamic resistance and compute the following:

a) The driver’s perception reaction time.
b) The crashing speed of the vehicle.

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