SOLUTION: An automobile moving at a constant velocity of 15m/sec passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant ra

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Question 895476: An automobile moving at a constant velocity of 15m/sec passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant rate of 2m/sec sq. How soon will the second automobile overtake the first?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The distance of the first car is
D%5B1%5D=15%2At
The distance of the second car is,
D%5B2%5D=%281%2F2%29%282%29t%5E2
Find t} when D%5B1%5D=D%5B2%5D,
15t=t%5E2
t%5E2-15t=0
t%28t-15%29=0
Two solutions:
t=0 <--- When they were both at the gas station.
and
t-15=0
t=15%7D%7D%7B%7B%7Bsec