A Scooter is moving with a velocity of 20m/s when brakes are applied. The mass of the scooter and the rider is 180kg.The constant force applied by the brakes is 500N.

a) How long should the brakes be applied to make the scooter comes to halt?

b)How far does the scooter travel before it comes to rest?

first we will have to find the time.

a) u (initial velocity) = 20 m/s

v (final velocity) = 0 m/s (as the vehical comes to rest)

m (mass) = 180 kg

force = -500 N ( as it comes to rest)

f = m(v-u)/t

so,

-500=180(0-20)/t

-500t=-360

t=360/500

t=0.72 s

b)s = ?

2as = v2-u2 (3rd equation of motion)

2x (v-u)/t x s= 0- 20x 20

2 x -27.7 x s = -400

s=400/55.4

s=7.22 m

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m=180

f=m(v-u)t

-500=180(0-20)

t=0.72

2as=v2-u2

s=400/55.4

s=7.22m

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