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a car ,capable ofa constant accelarion of 2.5m/s^2, is stopped at a trafic light when the light turns green , the car starts from rest with this acceleration. also ,as the light turns green , a truck travelling with a constant velocity of 40km/h pass the car ,the car will eventually travel faster than the truck and willovertack it . where will the car catch up with the truck

2007-03-28 13:45:36 · 1 answers · asked by loveiranshiraz 1 in Science & Mathematics Physics

1 answers

Let d be the distance from the light.
For constant velocity d= v t

For the car, d = 1/2 a t^2 or sqrt (2d/a) = t
Substitute in the truck equation
d = v sqrt (2d/a)
Square both sides d^2 = 2 v^2 d /a
Divide by d d = 2 [40000/3600]^2 / 2.5
And solve d = 100 meter appx.

Remember consistent units.

2007-03-28 13:57:26 · answer #1 · answered by cattbarf 7 · 0 0

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