Question

1 fill in the blank 25 points the function h represents the height of an object t seconds after it is launched into the air. the function is defined by: $h(t) = -5t^2 + 20t + 18$ height is measured in meters. a. find h(2), h(2) = type your answer... meters (just type the number in the box) b. what does your answer tell you about the object? choose your answer...

Explanation:

Step1: Substitute t=2 into h(t)

$h(2) = -5(2)^2 + 20(2) + 18$

Step2: Calculate squared term

$h(2) = -5(4) + 20(2) + 18$

Step3: Compute multiplications

$h(2) = -20 + 40 + 18$

Step4: Sum the values

$h(2) = 38$

Answer:

a. 38
b. The object is 38 meters above the ground 2 seconds after being launched.