On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. how does the distance traveled by the truck compare to that of the car?

Question

Mathematics

Lizbeth Rivas

28 April, 18:49

On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. how does the distance traveled by the truck compare to that of the car?

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Noah Warner · Answer 1

To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,

distance by car = (20 m/s) (5s) = 100 m

For decelerating object, the distance traveled is,

distance = Vt - (at^2) / 2

For the truck,

distance by truck = (20 m/s) (10s) - (2m/s^2) ((10s) ^2) / 2 = 100 m

Relatively, both have traveled the same distance.