SOLUTION: If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 � 10t + 290, where t is in seconds, and height i

Question 576648: If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 � 10t + 290, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth�s place; include units in your answer
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with:

When the stone hits the ground, h(t) = 0, so...
Solve this quadratic equation using the quadratic formula: where: a = -09.8, b = -10, and c = 290.

Evaluate.
secs. or secs. Discard the negative solution as the time is a positive quantity.
The stone will hit the ground after 4.95 seconds.