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?

h=8+2t

h=4+32t-16t^2

1The arrow is fired with an initial upward velocity of 2 ft/s.

2The arrow is fired with an initial upward velocity of 4 ft/s.

3The arrow is fired with an initial upward velocity of 8 ft/s.

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

Question

Mauricio Reid

Mathematics

30 March, 04:20

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?

h=8+2t

h=4+32t-16t^2

1The arrow is fired with an initial upward velocity of 2 ft/s.

2The arrow is fired with an initial upward velocity of 4 ft/s.

3The arrow is fired with an initial upward velocity of 8 ft/s.

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

+3

Answers (1)

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Azaria · Answer 1

From the kinematic equations, s (t) = s_in + (v_in) (t) - (1/2) (g) (t^2). This means that there is an initial distance of 4, initial velocity of 32 and acceleration (in opposite direction of the motion) of 32. Option 4 shows the correct answer.