High School

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In the last lap of the Daytona 500, a driver is passing the leader in turn 4 to win, traveling at 98.3 m/s. They wreck, decelerating at -19.66 m/s² and come to a complete stop just short of the finish line. How long did it take for the cars to stop and lose the race?

a) 2.5 seconds
b) 4 seconds
c) 5 seconds
d) 6 seconds

Answer :

Final answer:

The cars took c) 5 seconds to stop and lose the race.

Explanation:

To find the time it took for the cars to stop and lose the race, we need to determine the time it takes for the wrecked car to decelerate from its initial velocity of 98.3 m/s to a complete stop. We can use the formula:

v = u + at

where v is the final velocity (0 m/s), u is the initial velocity (98.3 m/s), a is the acceleration (-19.66 m/s2), and t is the time. Rearranging the formula to solve for t, we get:

t = (v - u) / a

Plugging in the values, we have:

t = (0 - 98.3) / (-19.66)

t = 5 seconds

Therefore, it took 5 seconds for the cars to stop and lose the race. The correct answer is (c) 5 seconds.

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