A cannon fires a 10.0 kg cannonball horizontally from the top of a 50 m high cliff with an initial speed of 80.0 m/s. The origin (0,0) is at the base of the cliff as shown in the figure, not at the starting position of the cannonball. Assume no air resistance, ball rotation, etc. Only gravity is acting on the ball while it is in flight. a. Fill in the following table. If there is/are unknown quantity/ies put a question mark in those boxes. Don't forget units! Vxi Vyi Vxf Vyf ax ay (0,0) b. Using the information in the table, determine how long the cannonball is in the air.

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c. What is the final position, i, of the cannonball when it hits the ground?
Write your answer in the form of a vector.
с.
d. What is the average velocity vave of the cannonball from the time it is
launched to the time it reaches the ground?
e. If the cannonball were launched at a 30° angle above the horizontal with the
same speed, what would its initial velocity vector be? Fill in the components
and show your work.
f. Would the cannonball launched at an angle be in flight for a longer time,
shorter time or the same time as the one launched horizontally? Show
and/or explain your answer. (If you can explain it well, you don't have to do
any calculations!)
Transcribed Image Text:c. What is the final position, i, of the cannonball when it hits the ground? Write your answer in the form of a vector. с. d. What is the average velocity vave of the cannonball from the time it is launched to the time it reaches the ground? e. If the cannonball were launched at a 30° angle above the horizontal with the same speed, what would its initial velocity vector be? Fill in the components and show your work. f. Would the cannonball launched at an angle be in flight for a longer time, shorter time or the same time as the one launched horizontally? Show and/or explain your answer. (If you can explain it well, you don't have to do any calculations!)
A cannon fires a 10.0 kg cannonball horizontally from the top of a 50 m high cliff
with an initial speed of 80.0 m/s. The origin (0,0) is at the base of the cliff as shown
in the figure, not at the starting position of the cannonball. Assume no air
resistance, ball rotation, etc. Only gravity is acting on the ball while it is in flight.
a. Fill in the following table. If there is/are unknown quantity/ies put a
question mark in those boxes. Don't forget units!
Yi
xf
yf
Vxi
Vyi
Vxf
Vyf
Ax
ay
(0,0)
b. Using the information in the table, determine how long the cannonball is in
the air.
Transcribed Image Text:A cannon fires a 10.0 kg cannonball horizontally from the top of a 50 m high cliff with an initial speed of 80.0 m/s. The origin (0,0) is at the base of the cliff as shown in the figure, not at the starting position of the cannonball. Assume no air resistance, ball rotation, etc. Only gravity is acting on the ball while it is in flight. a. Fill in the following table. If there is/are unknown quantity/ies put a question mark in those boxes. Don't forget units! Yi xf yf Vxi Vyi Vxf Vyf Ax ay (0,0) b. Using the information in the table, determine how long the cannonball is in the air.
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