3. A ballis shot from a cannon at 50 m/s at an angle of 30° above the horizontal. a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and ty. b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this point? Write the expression(s) you use symbolically before substituting in numbers. c. What is the speed of the ball at the highest point in its flight. Write the expression(s) you use symbolically before substituting in numbers.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3. A ball is shot from a cannon at 50 m/s at an angle of 30° above the horizontal.
a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and +y.
b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this
point? Write the expression(s) you use symbolically before substituting in numbers.
c. What is the speed of the ball at the highest point in its flight. Write the expression(s) you use symbolically before
substituting in numbers.
4. You get the opportunity to play basketball with LeBron James. Your team is down by 2 points with time running out.
LeBron feeds you the ball and you take a shot with 0.82 seconds remaining. It goes in, with nothing but net, as the
buzzer sounds! The ball leaves your hand at an angle of 30° from the horizontal. Was this a three-point shot? The
maximum three-point distance in the NBA is 7.24 meters. Please include a labeled diagram showing all relevant
information with your chosen +x and +y direction. Make reasonable estimates if needed. Write the expression(s) you
use symbolically before substituting in numbers.
Transcribed Image Text:3. A ball is shot from a cannon at 50 m/s at an angle of 30° above the horizontal. a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and +y. b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this point? Write the expression(s) you use symbolically before substituting in numbers. c. What is the speed of the ball at the highest point in its flight. Write the expression(s) you use symbolically before substituting in numbers. 4. You get the opportunity to play basketball with LeBron James. Your team is down by 2 points with time running out. LeBron feeds you the ball and you take a shot with 0.82 seconds remaining. It goes in, with nothing but net, as the buzzer sounds! The ball leaves your hand at an angle of 30° from the horizontal. Was this a three-point shot? The maximum three-point distance in the NBA is 7.24 meters. Please include a labeled diagram showing all relevant information with your chosen +x and +y direction. Make reasonable estimates if needed. Write the expression(s) you use symbolically before substituting in numbers.
Activity 1.16- Projectile Motion Problems
Note: Neglect air friction unless otherwise specified. Use g = +10 m/s² for the magnitude of the acceleration due to
gravity.
1. You throw a snowball from a roof with a speed of 20 m/s at an angle of 36.87" above the horizontal. The ball lands at
a horizontal distance of 48 meters from where you throw the snowball. Assume free fall.
a. Use the diagram below and problem statement above to complete the table. Write in values if given in the
problem statement (or easily calculated). Use a question mark if the value is not given in the problem statement.
Use the origin and +x and ty directions shown.
Ya
16-20
(0,0) !
+y
9 = 36.87
48 m
Vaz-
x=
V₂ =
b. How long is the ball in the air? Start by writing the relation you use symbolically.
C How high is the roof? Start by writing the relation you use symbolically
By
y=
Vy=
d. What is the speed and direction of the snowball just before it hits the ground? Give angle relative to vertical
with zero degrees being straight down. Start by drawing the velocity vector
2. An airplane has a speed of 65 m/s and is flying at an angle of 22.57" below the horizontal when the pilot accidentally
releases a package of relief food. The airplane is 120 m above the ground when the package is released.
a. Draw a labeled diagram with all relevant information. Include origin and +x and +y directions.
b. How far does the package travel horizontally while it is in the air? Write the expression(s) you use symbolically
before substituting in numbers.
Transcribed Image Text:Activity 1.16- Projectile Motion Problems Note: Neglect air friction unless otherwise specified. Use g = +10 m/s² for the magnitude of the acceleration due to gravity. 1. You throw a snowball from a roof with a speed of 20 m/s at an angle of 36.87" above the horizontal. The ball lands at a horizontal distance of 48 meters from where you throw the snowball. Assume free fall. a. Use the diagram below and problem statement above to complete the table. Write in values if given in the problem statement (or easily calculated). Use a question mark if the value is not given in the problem statement. Use the origin and +x and ty directions shown. Ya 16-20 (0,0) ! +y 9 = 36.87 48 m Vaz- x= V₂ = b. How long is the ball in the air? Start by writing the relation you use symbolically. C How high is the roof? Start by writing the relation you use symbolically By y= Vy= d. What is the speed and direction of the snowball just before it hits the ground? Give angle relative to vertical with zero degrees being straight down. Start by drawing the velocity vector 2. An airplane has a speed of 65 m/s and is flying at an angle of 22.57" below the horizontal when the pilot accidentally releases a package of relief food. The airplane is 120 m above the ground when the package is released. a. Draw a labeled diagram with all relevant information. Include origin and +x and +y directions. b. How far does the package travel horizontally while it is in the air? Write the expression(s) you use symbolically before substituting in numbers.
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