Question

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is the time in seconds the ball is in the air. When will the ball hit the ground? Write the function in intercept form. Group of answer choices:
A. h(t) = (−8t − 3)(2t + 2); the ball will hit the ground at 2.5 seconds

B. h(t) = (−8t + 3)(2t − 2); the ball will hit the ground at 2 seconds

C. h(t) = (8t − 3)(2t − 2); the ball will hit the ground at 1.5 seconds

D. h(t) = (−8t − 3)(2t − 2); the ball will hit the ground at 1 second  ​

Answer 1

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The time at which the ball will hit the ground is,

h(t) = −16t² + 10t + 6

0 = -16t² + 10t + 6

8t² - 8t + 3t - 3= 0

8t(t-1)+3(t-1) = 0

(8t+3)(t-1)=0

t = -0.375, 1

Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).

Thus, the correct option is D.

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