Question

A projectile is fired vertically upwards from 300 feet above the ground with an initial velocity of 800 ft/sec. Recall function h(t) = -16t²+ vot + yo. Write a quadratic equation to model the projectile's height h(t) in feet above the and after t seconds.

Answer 1

ANSWER:

$h(t)=-16t^2+800t+300$

STEP-BY-STEP EXPLANATION:

Given:

Initial height = 300 feet

Initial speed = 800 ft/sec

We have that the function must have the following form:

$h\mleft(t\mright)=-16t^2+v_0t+y_0$

We replace the height and initial speed and the function would be like this:

$h(t)=-16t^2+800t+300$