2D Projectile Motion (3.4)

Instructions

Read Section 3.4 Projectile Motion
Do Check Your Understanding (CYU) in Section 3.4
Complete Problems & Exercises at the end of chapter: #25, 27, 29 & 43

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Draw a picture of what is happening in #25

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List your given values (put a ? in values you are looking for, leave blank any that you don't have info for):
v_0 = _______       Initial Velocity Angle, Theta = _______
time, t = _______  
 x_0 = _______              y_0 = _______ 
x =  _______                 y = _______ 
v_x0 = _______            v_y0 = _______ 
v_x = _______               v_y = _______ 
a_x = _______              a_y = _______ 

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List what you are looking for:
_______ and _______ 

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What equations will you use with the given information you have to find what you are looking for?

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#25 Final Answer:
x = _______ 
y = _______ 

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Draw a picture of what is happening in #27
A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) What is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?

1

List your given values:
v_0 = _______       Initial Velocity Angle, Theta_0 = _______
time, t = _______  
 x_0 = _______              y_0 = _______ 
x =  _______                 y = _______ 
v_x0 = _______            v_y0 = _______ 
v_x = _______               v_y = _______ 
v = _______       Final Velocity Angle, Theta = _______ 
a_x = _______               a_y = _______ 

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List what variable(s) you are looking for:
a) _______ 
b) _______ 
c) _______ 
d) _______ , _______ , _______ , and _______ 

1

What equations will you use with the given information you have to find what you are looking for?

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#27 Final Answer
a) t=_______ 
b)  v_x0=_______ 
c)  v_y_______ 
d)  v_x= _______ v_y= _______ v=_______ Theta =_______ 

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Draw a picture of what is happening in #29
An archer shoots an arrow at a 75.0 m distant target; the bull’s-eye of the target is at same height as the release height of the arrow. (a) At what angle must the arrow be released to hit the bull’s-eye if its initial speed is 35.0 m/s? In this part of the problem, explicitly show how you follow the steps involved in solving projectile motion problems. (b) There is a large tree halfway between the archer and the target with an overhanging horizontal branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?

1

List your given values (include units and sigfigs):
v_0 = _______       Initial Velocity Angle, Theta = _______
time, t = _______  
 x_0 = _______              y_0 = _______ 
x =  _______                 y = _______ 
v_x0 = _______            v_y0 = _______ 
v_x = _______               v_y = _______ 
a_x = _______              a_y = _______ 

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List what you are looking for
a)  _______ 
b) _______ 

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What equations will you use with the given information you have to find what you are looking for?

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#29 Final Answer
a) Theta =_______ 
b)  y=_______ ; arrow goes _______ (Over, into, under) the branch.

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Draw a picture of what is happening in #43
Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.

1

List your given values:
v_0 = _______       Initial Velocity Angle, Theta = _______
time, t = _______  
 x_0 = _______              y_0 = _______ 
x =  _______                 y = _______ 
v_x0 = _______            v_y0 = _______ 
v_x = _______               v_y = _______ 
a_x = _______              a_y = _______ 

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List what variable)s) you are looking for

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What equations will you use with the given information you have to find what you are looking for?

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#43 Final Answer
_______ 

2D Projectile Motion (3.4)

Draw a picture of what is happening in #25

What equations will you use with the given information you have to find what you are looking for?

What equations will you use with the given information you have to find what you are looking for?

What equations will you use with the given information you have to find what you are looking for?

Draw a picture of what is happening in #43Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.

List what variable)s) you are looking for

What equations will you use with the given information you have to find what you are looking for?

Draw a picture of what is happening in #25

What equations will you use with the given information you have to find what you are looking for?

What equations will you use with the given information you have to find what you are looking for?

What equations will you use with the given information you have to find what you are looking for?

Draw a picture of what is happening in #43Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.

List what variable)s) you are looking for

What equations will you use with the given information you have to find what you are looking for?

Draw a picture of what is happening in #43
Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.

Draw a picture of what is happening in #43
Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.