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?

mc016-1.jpg
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 upw

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?

mc016-1.jpg
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 upw

anonymous · Answer

Please help!

anonymous · Answer

I can't see the equations.

dumbcow · Answer

The height of the arrow is modeled by
$$h(t) = -16t^2 + vt + h_0$$
The height of the target is 
$$H(t) = st + H_0$$
Set 2 equations equal to find velocity v needed to hit the target (assuming you are given time t)

dumbcow · Answer

you to repost the link so we can see the diagram

anonymous · Answer

h= 8 + 2t
h = 4 + 32t-16tsquared