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Name: _______________________________ Date: ___________ Class: ___________ PROJECTILE MOTION REVIEW 1. Identify the following variables and give their units: dx = _____________________ dy = _______________________ vx = _____________________ viy = _______________________ g = _____________________ vfy = _______________________ vi = _____________________ 2. Define the following terms: projectile: ____________________________________________________ trajectory: ___________________________________________________ range: ______________________________________________________ 3. What is true about the horizontal velocities of ALL projectiles launched horizontally or at angles? 4. What is true about the rising times and falling times for projectiles that return to their launch position heights? 5. What is the displacement of an object launched straight up into the air if it returns to its launch position? 6. If an airplane travels at a constant velocity and altitude and drops an object, what do you know about the object’s horizontal velocity? Where will the plane be when the object hits the ground? 7. What is the only force acting on a projectile once it is launched? 8. What is true about the horizontal and vertical components of objects launched horizontally or at angles? 9. What variable is the same for both the horizontal component and the vertical component of projectiles launched horizontally and at angles? Schneider Honors Physics Name: _______________________________ Date: ___________ Class: ___________ 10. What angle can a projectile be launched at to achieve the greatest range? 11. Be sure that you understand and can explain the trajectories and velocities of the following projectiles: a. b. Horizontal Projectiles: Straight Up Projectiles: Schneider Honors Physics Name: _______________________________ Date: ___________ Class: ___________ HONORS PHYSICS, PROJECTILE MOTION REVIEW, page 3 c. Angled Projectiles: 12. A projectile was fired at 35° above the horizontal. At the highest point in its trajectory its speed was 200 m/s. If air resistance is ignored, the initial velocity had a horizontal component of ________m/s. 13. Solve the following problems. Show all work: list variables with units, show equations used, plug into the equations, and give answers with units!!!!! a. A girl throws a ball straight up into the air with a velocity of 22.7 m/s. 1) What is the final velocity of the ball at the top of its trajectory? 2) How high did the ball go? 3) How long did it take to reach its highest point? b. An object is projected horizontally at 8.0 m/s from the top of a 122.5 m cliff. 1) How long does it take to hit the ground below the cliff? 2) How far away from the base of the cliff will it strike the ground? c. A student threw a ball horizontally out of a window 9.3 m above another student. It was caught by the other student who was 11.7 m away from the building. How long is the ball in the air before it is caught? What was the initial velocity of the ball? Schneider Honors Physics Name: _______________________________ Date: ___________ Class: ___________ HONORS PHYSICS, PROJECTILE MOTION REVIEW, page 4 d. An airplane is flying horizontally at 148 m/s at an altitude of 2280 m. The plane releases a “care package” that falls to the ground along a curved trajectory. 1) How long does it take the package to hit the ground? 2) How far away will the package land on the ground? e. A ball rolls off the top of a bookcase with a horizontal velocity of 1.85 m/s. It lands 1.30 m away from the base of the bookcase. 1) How long did it take to fall to the floor? 2) How tall is the bookcase? f. An automatic tennis ball server releases a tennis ball at an angle of 31o and a velocity of 9.0 m/s. 1. What is the range of the ball? 2. What is the maximum height of the ball? g. A shot-put is released at a 38o angle and has a velocity of 27.0 m/s. 1. How long does it stay in the air? 2. What horizontal distance does it travel? 3. What maximum height does it reach? h. A kicker on the football field kicked the ball with an initial velocity of 18.0 m/s angle of 35o to the horizontal. 1. How long was the ball in the air? 2. How high did it go? 3. How far down the field will it land? Schneider at an Honors Physics