# On turning a corner a car driver driving at 36 km per hour find the side on the road 55m ahead he immediately applies brakes so as to stop within 5 M of the child calculate the retardation produced and the time taken by the car to stop.

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Updated on: September 25th, 2023

The retardation produced and the time taken by the car to stop is 1m/s² and 10 sec. Steps to calculate the retardation produced and the time taken by the car to stop:

Given that:

Initial velocity = u = 36km/h

Now by converting them we get:

u = 36x(5/18)=10m/s

Also given that:

Final velocity = V = 0 m/s

We have to calculate acceleration, a, and time t.

Distance traveled = S

S = 55 – 5 = 50m

We have the third equation of motion,

V² – U² = 2as

Substituting the values in the above equation we get

⇒0²-(10)² = 2*a*50

a= -100/100

In simplification we get the:

a= -1m/s².

We know that,

V = U + at

Substituting the values in the above equation we get:

0 = 10 – 1 x t

-10 = -1 x t

In simplification we get the:

t = 10sec

Hence, acceleration is -1m/s² or retardation =1m/s²

Therefore time is taken by the car to stop = 10sec.

### Velocity

• The pace at which an object’s position changes in relation to time and a frame of reference is known as its velocity.
• Velocity is nothing more than the act of moving quickly in one direction, despite its complex appearance.
• Because velocity is a vector quantity, the definition requires both magnitude (speed) and direction.
• The SI equivalent is the metre per second (ms-1).
• It is said that a body is accelerating if its velocity changes in either direction or magnitude.

Summary:

## On turning a corner a car driver driving at 36 km per hour find the side on the road 55m ahead he immediately applies brakes so as to stop within 5 M of the child and calculates the retardation produced and the time taken by the car to stop.

On turning a corner a car driver driving at 36 km per hour finds the side of the road 55m ahead he immediately applies brakes so as to stop within 5 M of the child. The retardation produced and the time taken by the car to stop is 1m/s² and 10 sec.

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