A 1,000-kilogram car traveling with a velocity of + 20. meters per second decelerates uniformly at - 5.0 meters per second squared until it comes to rest. What is the total distance the car travels as it decelerates to rest? A) 40. m B) 20. m C) 10. m D) 80. m

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Physics

Katrina Taylor

3 December, 00:06

A 1,000-kilogram car traveling with a velocity of + 20. meters per second decelerates uniformly at - 5.0 meters per second squared until it comes to rest. What is the total distance the car travels as it decelerates to rest? A) 40. m B) 20. m C) 10. m D) 80. m

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Bruce Reeves · Answer 1

Starting at 20m/s and losing 5m/s of speed every second,

it takes (20/5) = 4 seconds to stop.

The car's average speed during that time is (1/2) (20+0) = 10m/s.

At an average speed of 10m/s for 4s, it travels (10 x 4) = 40 meters.

The car's mass doesn't matter. With the same initial speed and

acceleration, the distance traveled would be the same for a car,

a leaf, or a battleship.