SOLUTION: The position of an object moing in a straight line is given by s=2t^2-3t, where s is in meters and t is the time in seconds the object has been in motion. how long (to the nearest

Question 307569: The position of an object moing in a straight line is given by s=2t^2-3t, where s is in meters and t is the time in seconds the object has been in motion. how long (to the nearest tenth) will it take the object to move 19 meters?
i think my answer is 3.7 seconds.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for t when s = 19:
Substitute s = 19.
Rearrange into standard quadratic equation form:
Solve using the quadratic formula: where a = 2, b = -3, and c = -19.

or Discard the negative solution as the time, t, should be a positive quantity.
seconds.
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