Susan throws a softball upward into the air at a speed of 32 feet per second from a 88 dash foot88-foot platform. the distance upward that the ball travels is given by the function d left parenthesis t right parenthesis equals negative 16 t squared plus 32 t plus 88d (t) = - 16t2+32t+88. what is the maximum height of the softball? how many seconds does it take to reach the ground after first being thrown upward? (round your answer to the nearest tenth.)

Question

Mathematics

Kailey

14 March, 06:42

Susan throws a softball upward into the air at a speed of 32 feet per second from a 88 dash foot88-foot platform. the distance upward that the ball travels is given by the function d left parenthesis t right parenthesis equals negative 16 t squared plus 32 t plus 88d (t) = - 16t2+32t+88. what is the maximum height of the softball? how many seconds does it take to reach the ground after first being thrown upward? (round your answer to the nearest tenth.)

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Answers (1)

Know the Answer?

German Callahan · Answer 1

D (t) = - 16t²+32t+88

a] Maximum height

At maximum height d' (t) = 0

from d (t);

d' (t) = - 32t+32=0

thus

t=1

hence the maximum height will be:

d (t) = - 16t²+32t+88

d (1) = - 16 (1) ^2+32 (1) + 88

d (1) = 104 ft

2] how many seconds does it take to reach the ground after first being thrown upward?

Here we solve for t intercept

when d (t) = 0

thus

0=-16t²+32t+88

solving for t, we get:

t=1 - √13/2

or

t=1 + √13/2

t=-1.55 or t=3.55 sec

Thus the answer is t=3.55 sec