A1200.0-kg car is traveling at 19m/s. the driver suddenly slams on the brakes and skids to a stop. the coefficient of kinetic friction between the tires and the road is 0.80. for what length of time is the car skidding?

1.7 s

2.9 s

3.9 s

2.4 s

option D)

2.4 seconds

Given in the question,

mass of car = 1200kg

speed of car = 19m/s

Force due to direction of travel

F = ma

  = 12000(a)

Force to due frictional force in reverse direction

-F = mg(friction coefficient)

   = -12000(9.81)(0.8)

(cancelling mass from both side of equation)

g(0.8) = a

(9.81)(0.8) = a

a = 7.848 m/s²

where vf = final velocity

          vo = initial velocity

          a = acceleration

           t = time

0 - 19 = 7.8(t)

t = 19/7.8

  = 2.436 s

  ≈ 2.4s

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