aren is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by h(t) = −16t2 + 32t + 3, 0 ≤ t ≤ 2.118. If Saul's outstretched arms are 17 feet above the ground, will the

Elementary Algebra
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Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
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Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by

h(t) = −16t2 + 32t + 3, 0 ≤ t ≤ 2.118.

If Saul's outstretched arms are 17 feet above the ground, will the orange ever be high enough so that he can catch it?

A No. The orange will reach a maximum height of 3 feet.
 
B There is not enough information given to answer the question.   
 
 C Yes. The orange will reach a maximum height of 38 feet.
 
D No. The orange will reach a maximum height of 6 feet.
 
E Yes. The orange will reach a maximum height of 19 feet.
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