3.2 Free Fall (Up)
SWBAT calculate and fully describe the
motion of an object being thrown
upward and find it’s maximum height.
A rock is dropped from a bridge to the water below. It takes 3.5
seconds for the rock to reach the water.
a. How far down did the rock fall to the water?
b. What was the final velocity of the rock right before it hit the water?
1) 86.4 m
2) 2 s
3) 0.2 s
4) 3 s
5) -24.8 m/s
6) -1.6 m/s2
7) a. 176.4 m
b.
c. -58.8 m/s
d.
A ball is thrown straight upward.
What is the velocity of the ball at it’s maximum height?
What is the ball’s acceleration at it’s maximum height?
When a ball is thrown vertically
upward, it has an initial velocity
in the positive direction.
The ball slows down at a rate of
-9.8 m/s2, as the ball reaches
it’s maximum height.
At its maximum height, the
ball’s velocity is 0 m/s for a
fraction of a second, but the
acceleration is always -9.8 m/s2
vf = 0 m/s
vi = 5 m/s
g = -9.8 m/s2
• At rest: v = 0 m/s
• Comes to a stop: vf = 0 m/s
• Dropped/dropped from rest: vi = 0 m/s
• Falls / Falls Freely: a = g = -9.8 m/s2 (Earth)
• Maximum Height: v = 0 m/s
Yosemite Sam fires his gun straight upward. A
bullet leaves his gun with a velocity of 360 m/s.
a. How high does the bullet go?
b. How long does it take the bullet to reach it’s
maximum height?
Your good buddy Zip the
Monkey is sitting in a tree 6
meters above you. You want
to throw a banana up to Zip.
a. How fast do you have to
throw the banana upward
in order to just reach Zip?
b. How long does it take the
banana to reach Zip?
A baseball is thrown
straight upward. It takes
2.5 seconds to reach its
maximum height.
a. What is the ball’s initial
vertical velocity?
b. What is the ball’s
maximum height?