Question

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

Answer 1

The required function is
`h(t)=-16t^2+70t+5`.

Step-by-step 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

`h(t)=-16t^2+v_0t+h_0` .... (1)

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

Substitute
`v_0=70` and
`h_0=5` in equation (1).

`h(t)=-16t^2+70t+5`

Therefore, the required function is
`h(t)=-16t^2+70t+5`.

Answer 2

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.