Name______________________

Acceleration Equations: H(t) = Height at time t

t = time

2

H(t) = -16t + vt + c v = initial velocity

c = initial height

Answer the following questions and draw a diagram for each situation. 1. You toss a rock into the air with an initial velocity of 20 ft/s. H A. How long until it hits the ground?

B. How high is it after 1 second?

2. Jesus threw a tennis ball to Dina, who was on a balcony 24 feet above him, with an initial velocity of 44 ft/s. He threw it from an initial height of 4 feet. Dina missed the ball on the way up, but caught it on the way down. A. How long was the ball in the air?

B. If she missed it, how long would it take to reach Jesus again? (hint: his hand is 4 ft from the ground)

Name______________________

Acceleration Equations: H(t) = Height at time t

H(t) = -16t2 + vt + c

t = time

v = initial velocity

3. A gun fires a bullet into the air with an initial velocity of 1220 ft/s. A. How long until it hits the ground?

B. What is the maximum height of the bullet (axis of symmetry)?

C. How long did it take to get to the highest point?

c = initial height