Find the area of the trapezoid.

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Ответ:

riri95

04.10.2022

Mathematics

Time required to hit the ground is 7.9 s.

Step-by-step explanation:

The height of the rocket is given by

y =- 16 x^2 + 119 x + 57

For the time to hit the ground, put y = 0

$-16x^2+119x+57=0\\\\16 x^2 - 119 x - 57 = 0 \\\\x = \frac{119\pm\sqrt{14161+3648}}{32}\\\\x = \frac{119\pm133.45}{32}\\\\t = - 0.45 s, 7.9 s$

Time cannot be negative, so time to hit the ground is 7.9 s.

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