Jeremy is proud of his Chevrolet Spark LS. His bragging, however, has irritated

Question

Jeremy is proud of his Chevrolet Spark LS. His bragging, however, has irritated Ethan, a star on the track team. So Ethan issues a challenge: He claims that one-on-one. he can beat the Chevy Spark in a 100-m race on a grass field. They set the date for the next day. What Jeremy doesn't know, and Ethan does, is that it is scheduled to rain that night and the grass will be wet. They meet the next day. Ethan can accelerate from rest (in cleats) at a constant rate of 4.00 m/s^2 until he reaches his maximum running speed of 9.00 m/s. The Chevy, however, can only accelerate at a rate of 1.2 m/s^2 on wet grass (he loses traction if tries to accelerate faster): but has a top speed of about 100 MPH (~ 45 m/s). How long does it take for Jeremy to complete the race? How long does it take Ethan to complete the race? Who wins and by how much? Find the average speed of both Jeremy and Ethan. Who attains the faster speed, and what is that speed?

Explanation / Answer

a) For Chevy, time = distance/speed = 100/45 = 2.22 s (No sufficient information about jeremy is given)

b)For ethan, time = distancespeed = 100/9 = 11.11 s

c) Chevy wins by 8.88 s

d) average speed of chevy,ethan is (45*9)/45+9 = 7.5 m/s

e)Ethan attains faster speed of 9 m/s

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