SOLUTION: A ball is thrown upward. The path of the ball is modelled by the equation: h=-4.9t^2 + 9.9t + 1, where h is the height of the ball above the ground (in meters) and t is time (in se

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A ball is thrown upward. The path of the ball is modelled by the equation: h=-4.9t^2 + 9.9t + 1, where h is the height of the ball above the ground (in meters) and t is time (in se      Log On


   



Question 1198104: A ball is thrown upward. The path of the ball is modelled by the equation: h=-4.9t^2 + 9.9t + 1, where h is the height of the ball above the ground (in meters) and t is time (in seconds).
Time (s) Height (m)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
a) How long will it take the ball to reach the maximum height?


b) After how many seconds will the ball land?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A ball is thrown upward. The path of the ball is modelled by the equation: h=-4.9t^2 + 9.9t + 1, where h is the height of the ball above the ground (in meters) and t is time (in seconds).
Time (s) Height (m)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
a) How long will it take the ball to reach the maximum height?
It's a parabola.
The vertex, max height, is at t = -b/2a
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b) After how many seconds will the ball land?
When h=-4.9t^2 + 9.9t + 1 = 0