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Carry's car has a mass of 1000 kg and its brakes can apply 8000 N of force. If she is driving at 24 m/s and sees something in the road suddenly, how long will it take her car to come to a stop? Use the equation below to help you.

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Eduard22sly

The time taken for her car to come to a stop when the break is suddenly applied is 3 s

How to determine the deceleration

  • Mass (m) = 1000 Kg
  • Force (F) = –8000 N
  • Deceleration (a) =?

F = ma

Divide both side by m

a = F / m

a = –8000 / 1000

a = –8 m/s²

How to determine the time

  • Initial velocity (u) = 24 m/s
  • Final velocity (v) = 0 m/s
  • Deceleration (a) = –8 m/s²
  • Time (t) =?

v = u + at

0 = 24 + (–8 × t)

0 = 24 – 8t

Collect like terms

0 – 24 = –8t

–24 = –8t

Divide both side by –8

t = –24 / –8

t = 3 s

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