The driver of a 800 kg car travelling with a speed of 54 kilometre per hour on a highway sees a child on the road applies the brakes to save the child breaks exert a retarding force of 5000 Newton calculate the time interval during which the car stops?
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V(car) = 54 km/h = 15 m/s
M(car) = 800 kg
F(retardation) = - 5000 N
Negative symbol represents direction of acceleration
retardation (-a) = - 5000 / 800 = - 6.25 m/s^2
Distance travelled by car before it stops say 's'
v(final) = 0
v(initial) = 15 m/s
v^2 - u^2 / 2 (a) = s
0 - 225 / 2 ( - 6.25) = 18 m
now,
v = u + at
0 = 15 - 6.25t
15 = 6.25t
t = 15/6.25
t = 2. 4 seconds
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