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At the instant a traffic light turns green a car that has beenwaiting at the int

ID: 1758650 • Letter: A

Question

At the instant a traffic light turns green a car that has beenwaiting at the intersection starts ahead with a constantacceleration of 2.00 m/s2. At that moment a trucktraveling with a constant velocity of 15.0 m/s overtakes and passesthe car. a. Calculate the time necessary for the car to reach thetruck b. Calculate the distance beyond the traffic light that thecar will pass the truck c. Determine the speed the car when it passes the truck a. Calculate the time necessary for the car to reach thetruck b. Calculate the distance beyond the traffic light that thecar will pass the truck c. Determine the speed the car when it passes the truck

Explanation / Answer

let the car overtakes the truck after a time t sec distance s . in this time distance travelled by the car=0+1/2*2 t2 distance travelled by the truck in the same time=15*t when the car meets the truck distance travelled by both isequal so t2=15t so t=15sec distance=15*15=225m and velocity of the car =0+2*15=30m/sec