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Arisa [49]
3 years ago
12

A car sitting at a red light begins to accelerate at 2.0 m/s2 when the light turns green. It continues with this acceleration un

til 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?
Physics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

d = 820 m

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

v_f - v_i = at

20 - 0 = 2t

t = 10 s

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

d = \frac{1}{2}at^2

d = \frac{1}{2}(2)(10^2)

d_1 = 100 m

now it will move with uniform speed for next 36 s

so we have

d_2 = 20(36) = 720 m

so total distance moved by the car is given as

d = d_1 + d_2

d = 100 + 720

d = 820 m

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