a car is traveling at 82 km/h when the driver sees an accident 55 m ahead and slams on the brakes. what minimum constant deceleration is required to stop the car in time to avoid a pileup?



Answer :

The Deceleration required by the to avoid the pileup is 4.71m/s².

The car is travelling with a speed of 82 km/h. The driver starts to apply breaks at a distance of 55 m.

The minimum deceleration required to make the car stop to avoid a pileup is given by,

a = u²/2s

u is the initial velocity,

a is the negative acceleration,

s is the displacement of the car,

The speed is 82 km/h, converting it, the speed is 22.77m/s.

Putting values,

a = 22.77 x 22.77/2 x 55

a = 4.71m/s².

The negative acceleration or the deceleration required is 4.71m/s².

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