Question

select the correct answer.
dan uses a remote control to make his drone take off from the ground. function h represents the height, in feet, of the drone t seconds after it begins flying.
$h(t) = -16(t - 2)^2 + 64$
which statement correctly describes this situation?
a. the drone is on the ground at 0 and 4 seconds.
b. the drone is on the ground at 0 and 16 seconds.
c. the drone is on the ground at 2 and 4 seconds.
d. the drone is on the ground at 0 and 2 seconds.

Explanation:

Step1: Set height to 0 (ground)

$h(t) = 0 = -16(t-2)^2 + 64$

Step2: Isolate the squared term

$16(t-2)^2 = 64$

Step3: Divide both sides by 16

$(t-2)^2 = \frac{64}{16} = 4$

Step4: Take square roots

$t-2 = \pm 2$

Step5: Solve for t

Case 1: $t-2 = 2 \implies t=4$
Case 2: $t-2 = -2 \implies t=0$

Answer:

A. The drone is on the ground at 0 and 4 seconds.