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Identify the function that models ignoring air resistance a ball being thrown in the air with an initial velocity of 70 ft/s from a height of 5 feet

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Ignoring air resistance means putting variables in a controlled set-up where air is not present. This is known as a vacuum in Science. Regardless if the ball had initial velocity of 70 ft/s from a height of 5 feet, its kinetic energy as it falls to ground would be constant. This is known as the Earth's Gravity and Newton measured this that all objects fall at a rate of 9 meter per second squared. 

Answer:

The required function is [tex]h(t)=-16t^2+70t+5[/tex].

Explanation:

It is given that the ball being thrown in the air with an initial velocity of 70 ft/s and from a height of 5 feet. It means

Initial velocity = 70 ft/s

Initial height = 5 feet

The general function that approximate the height  in feet of a projectile on the earth after time t is

[tex]h(t)=-16t^2+v_0t+h_0[/tex]             .... (1)

Where, v₀ is initial velocity and h₀ is initial height.

Substitute [tex]v_0=70[/tex] and [tex]h_0=5[/tex] in equation (1).

[tex]h(t)=-16t^2+70t+5[/tex]

Therefore, the required function is [tex]h(t)=-16t^2+70t+5[/tex].

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