A projectile is fired vertically upward from a height of 200 feet above the ground, with an initial velocity of 900 ft/sec. Recall that projectiles are modeled by the function h(t)=−16t2+v0t+y0. Write a quadratic equation to model the projectile's height h(t) in feet above the ground after t seconds.

The equation that model the projectile's height is

Step-by-step explanation:

We know that projectile is fired vertically upward from a height of 200 feet above the ground with an initial velocity of 900 feet per second and projectiles experiment a parabolic motion, which combines horizontal uniform motion and vertical uniform accelerated motion due to gravity, whose equation of motion is:

Where:

- Current height above the ground at instant t, measured in feet.

- Initial height, measured in feet.

- Initial velocity, measured in feet per second.

- Gravitational acceleration, measured in feet per square second.

- Time, measured in seconds.

If we know that , and , the equation that model the projectile's height is