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 Two-Dimensional Kinematics Practice Questions

1 .       A ball moves with a constant speed of 10 m/s at an angle of 30 degrees with the x axis, what is the x component of its velocity? [Hint]

 2 m/s 5 m/s 8.7 m/s 10 m/s

2 .       What is the y component of the velocity of the ball in question 1? [Hint]

 2 m/s 5 m/s 8.7 m/s 10 m/s

3 .       How far does the ball in question 1 travel in the x direction in 2 seconds? [Hint]

 4 meters 10 meters 17.4 meters 20 meters

4 .       How far does the ball in question 1 travel in the y direction in 2 seconds? [Hint]

 4 meters 10 meters 17.4 meters 20 meters

5 .       Suppose that several projectiles are fired on level ground. Which one will be in the air longest? [Hint]

 The one with the farthest range, R. The one with the highest maximum elevation, h. The one with the greatest initial velocity.

6 .       Which of the following does not affect the range of a projectile? [Hint]

 vo Initial Speed thetao Launch Angle yo Initial Height xo Initial Horizontal Position

7 .       Which of the following must be zero for a projectile to achieve its maximum range? [Hint]

 vxf vyf xf yf

8 .       Which of the following must be zero for a projectile to be at its maximum height? [Hint]

 vxm vym ym xm

9 .       You hit a handball too hard and it lands, moving horizontally, on top of a roof. If its original velocity was vo at an angle q above the horizontal, then the velocity it lands on the roof with is [Hint]

 zero vo sin q vo cos q 2vo

10 .       You throw a pebble upward as shown, with a velocity vo at an angle theta, from a roof (at point J) h ft above the ground. If the pebble rises upward to h ft above the roof (to point K), then falls to the ground below (to point L), its speed when it hits the ground is [Hint]

 vo. between vo and 2vo. 2vo. greater than 2vo.

11 .
A ball is hit off a 1 meter high tee at 20 m/s at an angle of 70 degrees and lands on top of a 3-meter-high truck, what is its initial y position, yo? (Ground level is zero.) [Hint]

 0 meters 1 meter 2 meters 3 meters

12 .       In question 11 what is the initial x position, xo? [Hint]

 0 meters 1 meter 2 meters 3 meters

13 .       In question 11 what is vox? [Hint]

 0 m/s 6.84 m/s 18.8 m/s 20 m/s

14 .       In question 11 what is voy? [Hint]

 0 m/s 6.84 m/s 18.8 m/s 20 m/s

15 .       In question 11 what is the final y position? [Hint]

 0 meters 1 meter 2 meters 3 meters

16 .       In question 11 what is the distance between the tee and the truck? [Hint]

 0.75 meters 20.1 meters 25.5 meters 40.1 meters

17 .       In question 11 what is the time of travel of the ball? [Hint]

 0.1 s 3.7 s 5 s 12 s

18 .       In question 11 what is the horizontal speed of the ball at its maximum height? [Hint]

 0 m/s 6.84 m/s 18.8 m/s 20 m/s

19 .       In the previous question what is the vertical velocity? [Hint]

 0 m/s 6.84 m/s 18.8 m/s 20 m/s

20 .       In question 19 what is the acceleration? [Hint]

 -9.81 m/s2 0 m/s2 +9.81 m/s2

21 .       In question 19 what is the maximum altitude? [Hint]

 5 meters 9 meters 12 meters 18.8 meters

22 .       In question 11 where is the speed the greatest? [Hint]

 start top end

23 .       The formula for the range of a projectile [Hint]

 assumes that yo is zero. assumes that yo is not zero. assumes that xo is zero. assumes that xo is not zero.

24 .       What is the range of a projectile launched horizontally with a speed of 9.8 m/s? [Hint]

 9.8 meters 14.1 meters 20 meters

25 .       Which of the following is not an example of projectile motion? [Hint]

 football pass basketball shot space shuttle launch home run volleyball serve

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