A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function h(t) = -16t +208t. When will the rocket reach its maximum height? What will be the maximum height?

odigavz

odigavz

Answered question

2022-08-05

A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function h(t) = -16t +208t. When will the rocket reach its maximum height? What will be the maximum height?

Answer & Explanation

Isabella Rocha

Isabella Rocha

Beginner2022-08-06Added 10 answers

A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function h ( t ) = 16 t 2 + 208 t
We have to find when the rocket will reach its maximum height.
When the rocket reaches its maximum height, d h d t = 0
h ( t ) = 16 t 2 + 208 t d h d t = 32 t + 208 = 0
t=6.5 seconds
At t=6.5 seconds it is at maximum height.
Maximum height = 16 × ( 6.5 2 ) + 208 × 6.5
=676 feet

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