SOLUTION: At the instant, the traffic light turns green, an automobile starts from rest with a constant acceleration of 2.2 m/s^2. At the same instant a truck traveling with a constant speed

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Question 851564: At the instant, the traffic light turns green, an automobile starts from rest with a constant acceleration of 2.2 m/s^2. At the same instant a truck traveling with a constant speed of 9.5 m/s, overtakes and passes the automobile a.) How long will it take the automobile to overtake the truck? b.) How far beyond the traffic light will the automobile overtake the truck? c.) How fast will the car be traveling at that instant?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Acceleration means, rate of change of velocity and so acceleration multiplied by time gives velocity. In this problem, speed can be used. Still using RT=D, rate, time, distance, the units are meters and seconds.

______________rate__________time_________distance
CAR___________2*t___________t____________2t%5E2
TRUCK_________9.5___________t____________9.5t

That data table should be understandable enoough.
When do these vehicles reach the same distance in the same direction from the signal?
2t%5E2=9.5t;
Solve for t and then find distance. Do NOT try to divide by t to solve for it!