A car is traveling on a straight level road under windyconditions. Seeing a patc

Question

A car is traveling on a straight level road under windyconditions. Seeing a patch of ice ahead of her, the driver of thecar slams on her brakes and skids on dry pavement for 52 m,decelerating at 7.0 m/s2. Then she hits the icy patchand skids another 78 m before coming to rest. If her initial speed was 74 mi/h, what was the magnitude ofthe deceleration of the ice? A car is traveling on a straight level road under windyconditions. Seeing a patch of ice ahead of her, the driver of thecar slams on her brakes and skids on dry pavement for 52 m,decelerating at 7.0 m/s2. Then she hits the icy patchand skids another 78 m before coming to rest. If her initial speed was 74 mi/h, what was the magnitude ofthe deceleration of the ice?

Explanation / Answer

A car is traveling on a straight level road under windyconditions. Seeing a patch of ice ahead of her, the driver of thecar slams on her brakes and skids on dry pavement for 52 m,decelerating at 7.0 m/s2. Then she hits the icy patchand skids another 78 m before coming to rest. If her initial speed was 74 mi/h, what was the magnitude ofthe deceleration of the ice?

74m/h=119.09kmph=119.09*5/18=33.08m/sec
velocity when it hits theice=v=u*u-2as=33.08*33.08-2*7*52=1094.28-728=19.13m/sec


velocity at the starting of ice=19.13m/sec
velocity at the end of ice=0m/sec
s=78m
so a=0-19.13*19.13/2*78=-2.3458m/sec2
so deceleration produced by ice =2.3458m/sec2

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