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The driver of a car slams on the brakes, causing the car to slow down at a rate of 17.0ft/s2 as the car skids 172ft to a stop
How long does the car take to stop?
What was the car's initial speed?

Respuesta :

onyebuchinnaji

The time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.

Initial speed of the car

The initial speed of the car is calculated as follows;

v² = u² + 2as

where;

  • v is the final velocity, when the car stops, v = 0
  • u is the initial velocity
  • a is the acceleration
  • s is the distance traveled

0 = u² + 2as

0 = u² + 2(-17)(172)

0 = u² - 5858

u² = 5848

u = 76.47 ft/s

Time of motion of the car

v = u + at

0 = 76.47 - 17t

17t = 76.47

t = 4.5 seconds

Thus, the time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.

Learn more about time of motion here: https://brainly.com/question/2364404

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