SOLUTION: A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.
a. Determine the ma
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Question 834767: A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.
a. Determine the maximum height reached by the football.
b. At what time after the kick is the ball at a height of 5m.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.
a. Determine the maximum height reached by the football.
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h(t) = -4.9t^2 + 9.8t + 1
It's a parabola. The max ht is the vertex. The vertex is at
t = -b/2a = -9.8/-9.8 = 1 second
h(1) = 5.9 meters
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b. At what time after the kick is the ball at a height of 5m.
h(t) = -4.9t^2 + 9.8t + 1 = 5
Solve for t. There are 2 values, one going up, one falling.
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