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.

Which statement correctly describes this situation?

A.

The drone is on the ground at 0 and 16 seconds.

B.

The drone is on the ground at 0 and 4 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.

I think it's c I am not sure

Answer: C. The drone is on the ground at 0 and 4 seconds.

Step-by-step explanation:

Here the function that shows the height of the drone,

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

Where t is the time in seconds.

Since, the drone is ground when, h (t) = 0

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

-16 (t-2) ^2 = - 64 (by subtracting 64 from both sides 64)

(t-2) ^2 = 4 (dividing both sides by - 16)

t^2-4t+4 = 4

t^2-4t = 0 (by subtracting 4 from both sides)

t (t-4) = 0

⇒ t = 0 or t = 4

Thus, Option C is correct.