Question

A volleyball is served from a height of 6 feet with an initial velocity of 41 feet per second. The situation is modeled using the equation h=−16t^2+41t+6
, where h is the height of the ball in feet at t seconds.

Which of the following correctly uses the function to identify the corresponding y-values for the x-values of 0, 1, and 2?

(1 point)

(0,0), (1,27), (2,25)

(6,0), (31,1), (24,2)

(0,6), (1,31), (2,56)

(0,6), (1,31), (2,24)

Answer 1

Evaluate h(t) = −16t^2 + 41t + 6.

t = 0: h = 6 → (0, 6)
t = 1: h = −16 + 41 + 6 = 31 → (1, 31)
t = 2: h = −64 + 82 + 6 = 24 → (2, 24)

So the correct choice is (0,6), (1,31), (2,24).