Starting from 1.5 miles away, a car drives toward a speed checkpoint and then passes it. The car travels at a constant rate of 53 miles per hour. The distance of the car from the checkpoint is given by d = |1.5 – 53t|. At what times is the car 0.1 miles from the checkpoint? Calculate your answer in seconds.

95.1s and 108.7s

10.2s and 101.9s

108.7s and 10.2s

95.1s and 10.2s

Question

29-11-2016
Physics

Answered

Starting from 1.5 miles away, a car drives toward a speed checkpoint and then passes it. The car travels at a constant rate of 53 miles per hour. The distance of the car from the checkpoint is given by d = |1.5 – 53t|. At what times is the car 0.1 miles from the checkpoint? Calculate your answer in seconds.

95.1s and 108.7s

10.2s and 101.9s

108.7s and 10.2s

95.1s and 10.2s

Verified Answer :

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-12-05T22:59:52-05:00

MissPhiladelphia MissPhiladelphia

05-12-2016

For the answer to the question above,

To be 0.1 miles away from the check point ,
the car has to travel 1.4 miles OR 1.6 miles.

53 miles = 60 minutes

1.4 miles = 1.4 / 53 X 60 = 1.5849056 minutes OR 95.1 seconds

1.6 miles = 1.6 /53 X 60 = 1.8113207 minutes OR 108.7 seconds
So the answer is 95.1s and 108.7s
I hope my answer helped you

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