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

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.