Suppose you built a catapult that can launch a ball

from the ground at an initial velocity of 16 feet per

second. The function h (t) = - 16t2 + 16t represents the

height, h (t), in feet, that the ball has reached after t

seconds. What domain is reasonable for the

function? Explain.

Question

Mathematics

Miguel Haney

17 March, 16:18

Suppose you built a catapult that can launch a ball

from the ground at an initial velocity of 16 feet per

second. The function h (t) = - 16t2 + 16t represents the

height, h (t), in feet, that the ball has reached after t

seconds. What domain is reasonable for the

function? Explain.

+5

Answers (1)

Know the Answer?

Zachary Hebert · Answer 1

0 ≤ t ≤ 1

Step-by-step explanation:

The function can be factored as ...

h (t) = - 16t (t - 1)

It will have non-negative values for t in the interval [0, 1]. Negative values of h don't make much sense in this context, so the reasonable domain is [0, 1].

Suppose you built a catapult that can launch a ballfrom the ground at an initial velocity of 16 feet persecond. The function h (t) = - 16t2 + 16t represents theheight, h (t), in feet, that the ball has reached after tseconds. What domain is reasonable for thefunction? Explain.

Suppose you built a catapult that can launch a ball

from the ground at an initial velocity of 16 feet per

second. The function h (t) = - 16t2 + 16t represents the

height, h (t), in feet, that the ball has reached after t

seconds. What domain is reasonable for the

function? Explain.