SOLUTION: A cyclist has a head start of 75 m in a race and is moving with constant speed of 10m/s. You accelerate from rest at 2m/s^2. How long will it take you to catch the lead cyclist?

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Question 934009: A cyclist has a head start of 75 m in a race and is moving with constant speed of 10m/s. You accelerate from rest at 2m/s^2. How long will it take you to catch the lead cyclist?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
d%5B1%5D=v%5B0%5D%2At%2Bd%5B0%5D=10t%2B75
d%5B2%5D=%281%2F2%29at%5E2=%281%2F2%29%282%29t%5E2=t%5E2
Find t when d%5B1%5D=d%5B2%5D
t%5E2=10t%2B75
t%5E2-10t-75=0
%28t-15%29%28t%2B5%29=0
Only the positive solution for t makes sense here.
t-15=0
t=15sec