Acar sitting at a red light begins to accelerate at 2.0 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 46 s after the light changes to green?

Explanation:

here we know that car starts from rest and continue to accelerate till it will reach to maximum speed of 20 m/s

so we will have

so car will accelerate till t = 10 then it will move with uniform speed

so the distance moved by the car till it accelerates is given as

now it will move with uniform speed for next 36 s

so we have

so total distance moved by the car is given as

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