Question 210195: An object is moving in a straight line. It initially travels at a speed of 9 meters per second, and it speeds up at a constant rate of 2 meters per second each second. Under such conditions, the distance d, in meters, that the object travels is given by the equation d = t^2 + 9t, where t is in seconds. According to this equation, how long will it take the object to travel 22 meters?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! An object is moving in a straight line. It initially travels at a speed of 9 meters per second, and it speeds up at a constant rate of 2 meters per second each second. Under such conditions, the distance d, in meters, that the object travels is given by the equation d = t^2 + 9t, where t is in seconds. According to this equation, how long will it take the object to travel 22 meters?
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d = t^2 + 9t
t^2 + 9t = 22
t^2 + 9t - 22 = 0
(t+11)*(t-2) = 0
t = 2 seconds (ignore the -11 seconds)
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The 1st second it travels 10 meters.
The 2nd second it travels 12 meters.
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