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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?

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shubhamchouhanvrVT

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

What is Velocity?

Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.

By definition, the equation of movement in its generic form is given by:

[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]

Where,

g: acceleration due to gravity

[tex]v_o[/tex]: initial speed

[tex]h_o[/tex]: initial height

The equation for the arrow is given by:

[tex]h=4+32t-16t^2[/tex]

Then, according to the definition, the initial velocity of the arrow is:

[tex]v_o=32 \ \dfrac{m}{s}[/tex]

Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

To know more about velocity follow

https://brainly.com/question/25749514

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