PROJECTILE MOTION WORKSHEET

1. A golfer practicing on a range with an elevated tee 4.9m above the fairway is able to strike a ball so that it leaves the club with a horizontal velocity of 20ms-1. (Assume the acceleration due to gravity is 9.80ms-2, and the effects of air resistance may be ignored unless otherwise stated.)

a. How long after the ball leaves the club will it land on the fairway? b. What horizontal distance will the ball travel before striking the fairway?c. What is the acceleration of the ball 0.5s after being hit?d. Calculate the speed of the ball 0.80s after it leaves the club.e. With what speed will the ball strike the ground?

2. Twotennis balllaunchers shoot balls at the same time, angle and initial speed from different floors of a tall building. The balls land in the street below. Ignore air resistance.

a. Which ball will have the greater acceleration while inflight? Explain your reasoning.b. Which ball will hit farther from the base of thebuilding?c. Which ball will reach a greater maximum height? Explain your reasoning.

3. A shot-put is thrown. For each of the indicated positions of the shot-put along its trajectory, draw and label the followingvectors: the x-component of the velocity, the y-component of the velocity, and the acceleration. Explain why you drew the vectors as you did.

4. A bowling ball of mass 7.5kg travelling at 10ms1 rolls off a horizontal table 1.0m high. (Assume the acceleration due to gravity is 9.80ms2, and the effects of air resistance may be ignored unless otherwise stated.)

a. Calculate the balls horizontal velocity just as it strikes the floor. b. What is the vertical velocity of the ball as it strikes the floor? c. Calculate the velocity of the ball as it reaches the floor. d. What time interval has elapsed between the ball leaving the table and striking the floor? e. Calculate the horizontal distance travelled by the ball as it falls.

5. A senior physics class conducting a research project on projectile motion constructs a device that can launch a cricket ball. The launching device is designed so that the ball can be launched at ground level with an initial velocity of 28 m s1 at an angle of 30 to the horizontal. Calculate the horizontal component of the velocity of the ball:

a. Initially b. After 1.0s.c. After 2.0s.

6. A tennis ball rolls off the lab bench with an initial velocity of 3.0 m/s. The top of the lab bench is 1.5 m above the floor. How far will the ball land from the bench?

7. A pool ball leaves a 0.60-meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball's landing location.

8. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine: the time of flight, the horizontal distance and the peak height of the long-jumper.

9. A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine: the time of flight, the horizontal distance, and the peak height of the football.

10. Which one or more of the following statements are correct?

a. The minimum speed of the projectile during its flight is zero. b. The minimum speed of the projectile during its flight is equal to its initial vertical component of velocity. c. The minimum speed of the projectile during its flight is equal to its initial horizontal component of velocity. d. The minimum speed of the projectile during its flight is never zero.

Amer Javed AhmadPhysics GCE / ASYear 12 / SLSD26/10/2013Page 1