A car moving along a straight highway with a speed of 72 km h is brought to a stop within a distance of 100 m. What is the retardation of the car and how long does it take for the car to stop ?

Question

Answer

Answer

Retardation and Time taken for a Car to Stop

Given:

Initial speed of car, u = 72 km/h

Final speed of car, v = 0 km/h

Distance travelled before coming to a stop, s = 100 m

Calculating Retardation

Retardation is the rate at which the car's speed decreases. It can be calculated using the following formula:

Retardation (a) = (v² - u²) / 2s

Substituting the given values, we get:

a = (0 - (72*1000/3600)²) / (2*100)

a = -10 m/s²

Hence, the retardation of the car is 10 m/s².

Calculating Time taken for the Car to Stop

The time taken for the car to stop can be calculated using the following formula:

Time (t) = (v - u) / a

Substituting the given values, we get:

t = (0 - (72*1000/3600)) / (-10)

t = 8 seconds

Therefore, the car takes 8 seconds to come to a complete stop.

Answer

A=2 m/s

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