A cannonball is fired horizontally (launch angle (1) of 0°) from a height h above the ground, as in the image to the right. The launch velocity is vo, and we are only considering acceleration due to gravity. Show your work as you determine analytical (that is, symbolically in terms of variables and constants) equations for: (a) h the time At before the cannonball hits the ground, in terms of h, vo, and the acceleration due to gravity the distance x that the object travels horizontally before hitting the ground, in terms of h, vo, and the acceleration due to gravity the launch velocity vo, in terms of x, h, and the acceleration due to gravity (b) (c)

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Chapter1: Units, Trigonometry. And Vectors
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PRE-LAB: PROJECTILE MOTION
Before beginning this pre-lab, you should read the background section in the lab manual
for the corresponding lab. You may also find it helpful to review the rules for error
propagation that can be found in Canvas.
A cannonball is fired horizontally (launch angle
(1)
of 0°) from a height h above the ground, as in the
image to the right. The launch velocity is vo, and we
are only considering acceleration due to gravity. Show
your work as you determine analytical (that is,
symbolically in terms of variables and constants)
equations for:
(a)
h
the time At before the cannonball hits the
ground, in terms of h, vo, and the acceleration
due to gravity
the distance x that the object travels horizontally before hitting the ground, in
terms of h, vo, and the acceleration due to gravity
the launch velocity vo, in terms of x, h, and the acceleration due to gravity
X
(b)
(c)
(2)
2.3 + 0.2 s. What is the distance the ball falls, reported with appropriate uncertainty?
Suppose a ball is released from rest at time t = 0.0 s. The ball is allowed to for
Suppose a ball falls a distance of 168 ±2 cm when released from rest. What is
(3)
the time of flight for the ball, reported with an appropriate uncertainty?
Transcribed Image Text:PRE-LAB: PROJECTILE MOTION Before beginning this pre-lab, you should read the background section in the lab manual for the corresponding lab. You may also find it helpful to review the rules for error propagation that can be found in Canvas. A cannonball is fired horizontally (launch angle (1) of 0°) from a height h above the ground, as in the image to the right. The launch velocity is vo, and we are only considering acceleration due to gravity. Show your work as you determine analytical (that is, symbolically in terms of variables and constants) equations for: (a) h the time At before the cannonball hits the ground, in terms of h, vo, and the acceleration due to gravity the distance x that the object travels horizontally before hitting the ground, in terms of h, vo, and the acceleration due to gravity the launch velocity vo, in terms of x, h, and the acceleration due to gravity X (b) (c) (2) 2.3 + 0.2 s. What is the distance the ball falls, reported with appropriate uncertainty? Suppose a ball is released from rest at time t = 0.0 s. The ball is allowed to for Suppose a ball falls a distance of 168 ±2 cm when released from rest. What is (3) the time of flight for the ball, reported with an appropriate uncertainty?
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