Question

An arrow is shot vertically upward at a rate of 230 feet per second. Use the projectile formula h = −16t2 + v0t to determine at what time t (in seconds) the height of the arrow will be 500 feet.

Answer 1

The question gives you V0 as 220, so plug that in first.

h=-16t2+220t.

Then it says to find the time (solve for t), when the height is 400 ft. Plug 500 ft in as h and solve for t.

500=-16t2+220t.

To solve this, set the quadratic equal to 0 by subtracting 500 from both sides (0=-16t2+220t-500) and use the quadratic formula!

Explanation: