Question

At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground launches an arrow toward the target. The system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. Which statement most likely describes the situation modeled by this system?

StartLayout Enlarged Left-Brace 1st Row h = 8 + 2 t 2nd Row h = 4 + 32 t minus 16 t squared EndLayout
The arrow is fired with an initial upward velocity of 2 ft/s.
The arrow is fired with an initial upward velocity of 4 ft/s.
The arrow is fired with an initial upward velocity of 8 ft/s.
The arrow is fired with an initial upward velocity of 32 ft/s.

Answer 1

The arrow is fired with an initial upward velocity of 32 ft/s.

Reason: In the projectile model h = h0 + v0 t - 16t^2, the coefficient of t is the initial velocity, here 32.