A driver in a car moving with a velocity of 20m/s saw a crowd of demonstrators. when the car was 120m away from the crowd, the driver applied the brakes and the car decelerated at 2m/s.determine whether or not the car hit anyone in the crowd!if no then!, determine the distance from the demonstrators to where the car stopped
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To determine whether the car has hit any person , we need to find the distance it travels after applying the brakes.
From the problem , we know that
u = 2 0 m / s
v = 0 m / s
a = − 2 m / s 2
From third equation of motion ,
v 2 − u 2 = 2 a s
Plugging in the values , we get s = 1 0 0 m , indicating that the car did not hit any person.
Therefore our required answer is the distance from the crowd the car stops. Answer = 1 2 0 − 1 0 0 m = 2 0 m .
Therefore the answer is 2 0 m .