Quadratic Applications: Vertical Motion

A 11-5

Name ______Date ______Period ______Quadratic Applications: Vertical Motion

1. A rocket is fired from the ground with an initial velocity of 170 feet per second.

Function: ______

Domain: ______Range: ______a) When is the rocket 300 ft high?

b) When will the rocket hit the ground?

c) What is the maximum height of the rocket?

d) When will the rocket reach it’s maximum height?

2. A batter hits a baseball straight up from 3 feet off the ground with an initial vertical velocity of 80 feet per second.

Function: ______

Domain: ______Range: ______a) If the ball is not caught, how long will it take to hit the ground?

b) What is the maximum height?

c) How long does the catcher have to get in place to catch the ball at a height of 4 feet? A 3-5

3. Bradford threw a tennis ball to Dina, who was on a hotel balcony 24 feet above him, with an initial speed of 44 ft/s.

Function: ______

Domain: ______Range: ______a) Dina missed the ball on the way up, but caught the ball on the way back down. How long was the ball in the air?

b) If Matt was on the balcony on the floor 10 feet above Dina, could he have caught the ball? Why?

4. You and a friend go to the roof of a 15 story building with some water balloons. The ground is 200 feet below. You drop your water balloon at the same time that your friend throws his straight down at 40 ft/s. a)Graph the path of both balloons on the graph at the right.

Your Balloon: Function: f(t) = ______

Domain: ______Range: ______

Friend’s Balloon: Function: g(t) = ______

Domain: ______Range: ______b) By how many seconds does his balloon beat yours to the ground?