A car sitting at a red light begins to accelerate at 2 m/s2 when the light...

A car sitting at a red light begins to accelerate at 2 m/s2 when the light turns green. It continues with this acceleration until it reaches a speed of 20 m/s. It then travels at this speed for another few minutes. How far does the car travel in the first 50 s after the light changes to green?

Expert Solution

Time taken to reach the acceleration of 20m/s by car is, using kinematic equation,

now, distance traveled in 10s with acceleration of 20m/s is,

now, car reached at the acceleration of 20m/s^2 in 10sec, now next 40sec car moves with constant velocity of 20m/s so we can find distance traveled by car in next 40sec by using kinematic equation as,

hence, total distance traveled by car in 50 sec is given by,

genius_generous answered 2 years ago

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