projectile motion

Applications of Kinematics and Dynamics
 
 
Projectile Motion
 
 
Module 1
 
Module 2
 
Module 3
  
Module 4
  
Module 5
  
Module 6
Challenge Problem
 
 
Glossary
  
Worksheets
  
E-mail Me
 

 
Applications of Kinematics and Dynamics: Projectile Motion
Module 6: Review and Quiz
Objective     Review     Practice     Quiz     Glossary     Worksheets

Objective:

By the end of this module you should be able to:

  • Solve a variety of problems related to projectile motion.

 
 
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Review:

Important Concepts:

A falling object is acted on by gravity, which pulls downward with a force equal to the weight of the object.

In free fall with no air resistance, the acceleration of all objects is the same, regardless of weight.

When there is air resistance, a falling object will accelerate only until it reaches its terminal speed.

At terminal speed, the force of air resistance balances the force of gravity.

A path of a projectile is called its trajectory and is parabolic in shape.

The horizontal and vertical motions of a projectile are independent of each other.

If air resistance is ignored, a projectile moves with constant horizontal velocity and with constant vertical acceleration.

The trajectory of a projectile launched at an angle depends on the horizontal and vertical components of its initial velocity.

Important Formulas:

In the horizontal direction:

In the vertical direction:

When launched horizontally:

When launched at a velocity of v at an angle of :

 

To find the resultant (final) speed of the projectile:

 
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Practice:

Work through the following practice worksheet. Once you have completed the worksheet access the solutions and correct your answers. E-mail me if you are experiencing any difficulty.

       

 
 
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Quiz:

Name:
E-mail:

Fill in the blank: In the space, type in the answer that best completes the statement.

  1. Any object that is thrown or otherwise projected is called a(n) .
  2. A(n) is the path taken by an object thrown into the air.
  3. The shape of a projectile's path is .
  4. The vertical and horizontal motions of a projectile shot into the air are of one another.
  5. When a projectile is moving upwards, its acceleration is acting .
  6. At its the speed of a projectile is the smallest.
  7. Because of inertia, the velocity of a projectile is constant.
  8. The time required for a projectile to strike the ground depends on the original height, the initial velocity and the acceleration due to gravity.
  9. An angle of degrees would give a projectile the furthest horizontal distance.
  10. Two golf balls are released at the same time from the same height.   One ball is dropped vertically while the other is projected horizontally.   The of the two balls is always the same.

Calculation Questions: Complete the following questions. Don't forget to include units and the proper number of significant digits.

  1. An object is projected horizontally at 8.0 m/s from the top of a 122.5 m cliff.   How far from the base of the cliff will the object strike the ground?
  2. A student threw a ball horizontally out of a window 8.0m above the ground.   It was caught by another student who was 10.0 m away.   What was the initial velocity of the ball?
  3. A boy is standing in the bleachers 4.9 m above the ground.   He throws a ball horizontally onto the field where it lands 20 meters away.   What was his pitching speed?
  4. A baseball was hit at 45 m/s at an angle of 45 degrees above the horizontal. a) How long did it remain in the air? b) How far did it travel horizontally?
  5. A camper dives from a diving board 3 m above the water's surface with a speed of 8.0 m/s at an angle of 30 degrees to the horizontal.   a) How high does the diver go up?   How far out in the pool does the diver land?

 
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