MATH 1 HELP!!!!

Question

Max wanted to try a new Circus act. He was going to be catapulted through the air and will follow the path created by the function: -16t^2 + 28t + 8 where f(t) is the height of Max in meter in any given time (t) in seconds.

1. What is the initial height of Max when he was launched
2. How many seconds it take for him to hit the ground?
3. Write a new equation for Max’s path over time if he was launched with an initial velocity of 50 meters per second but the same height as before. 

Answer 1

f(t) = -16t² + 28t + 8

This equation gives the height in FEET, not meters.

(1)

f(0) = 8 feet

(2)

Set f(t)=0 and solve for t using the quadratic formula. You will get a negative and a positive solution. Since t starts at t=0, the positive solution is the correct one.

(3)

If you use -16t², the rest of the question must be in FEET, not meters. Replace 28t with 50t.

f(t) = -16t² + 50t + 8 (in feet)