Projectile Range KEY

5.
A monkey throws a banana horizontally from the top of a tree. The banana
hits the ground 6.00 seconds later and lands 30.0 m from the base of the tree.
a. How fast did the monkey throw the banana?
b. How high is the tree?
dy = 4.9 t2 = (4.9 m/s2)(6.00 s)2 = 176 m
c. How fast was the banana moving horizontally (vx) as it hit the ground?
The horizontal velocity will always be 5 m/s for the projectile.
d. How fast was the banana moving vertically (vy) as it hit the ground?
vy = gt = (9.8 m/s2)(6.00 s) = 58.8 m/s
6.
A bowling ball rolls off a high cliff at 5.00 m/s. Complete the chart below that describes
its motion during each second it is in the air.
Horizontal
Vertical
Horizontal
Vertical
Time
Velocity
Velocity
Distance
Distance
(s)
(m/s)
(m/s)
(m)
(m)
0
5.00 m/s
0 m/s
0m
0m
1
5.00 m/s
9.80 m/s
5m
4.9 m
2
5.00 m/s
19.6 m/s
10 m
19.6 m
3
5.00 m/s
29.4 m/s
15 m
44.1 m
4
5.00 m/s
39.2 m/s
20 m
78.4 m
Constant v
vy = gt
dx = vx t
Use the equations below each box to solve at each time interval.
dy = 4.9 t2