Horizontal and Vertical Motion Name _______________________

Remember: use for horizontal motion , and use or for vertical motion

1. A bowling ball is dropped out of out of an airplane that is traveling horizontally at

156 m/s. If the ball was dropped directly over a bowling alley, and it hits the ground 23.5

seconds later…

a) How far away from the bowling alley did the ball land? This is a horizontal value, so you will need to use to find the distance.

b) How high was the airplane flying? This is a vertical distance, so you will have to use

2. An arrow is fired straight up into the air at a velocity of 35 m/s.

a) how long will it continue to climb upward? Use to find time

b) how high will it climb? Use to find vertical distance

c) how fast will it be going when it hits the ground? Things hit the ground at the same speed they left at

3. A bullet is fired at an angle of 73^o above horizontal at235 m/s,

a) what is the vertical component of its velocity sin (73^o) ´ 235 m/s = component of its velocity

b) how long does it climb upward? Use to find time

c) how long will it be until it hits the ground? It takes it just as long to fall down as it does to go up…

4. A ball is rolled across a 1.8 m high table so that it falls off the edge and lands in a

bucket that is centered 3.1 m away from the base of the table.

a) how long will the ball be in the air? Use to find time

b) how fast will it need to be rolled in order to reach the bucket? Motion is horizontal, so what equation should you use?

5. An airplane that is flying at 235 m/s drops a water balloon and hits a target 845 m

away. How high was the airplane flying?

Use to find time, then use to find vertical height

6. If a punter kicks a ball with 28 m/s of vertical velocity, and wants it to land 87

meters away, how much horizontal velocity does the ball need?

You need to use to find horizontal velocity, but you don’t know time, so first use to find time (remember that this only gives you the time it travels upward, so double it)

7. Bobo the clown is fired out of a cannon (yeah!!) If he comes out of the cannon at 17 m/s and it is oriented 25^o above horizontal…

a) How long will Bobo be in the air? You need to use to find time, but this only works for the vertical component of velocity, so find vertical velocity by using

sin (25^o ) ´ 17 m/s (don’t forget that Bobo has to come back down)

b) How high will Bobo go? Use to find vertical distance, keeping in mind that he only gains altitude on the way up (use half the total time)

c) How far away will Bobo land? For horizontal distances we use , keeping in mind that he is traveling down range the entire time

8. A bomber is flying 220 m/s at an altitude of 5,100 meters. How far ahead of its target

does it need to drop its bomb in order to hit its target?

You’re looking for a horizontal distance so use to find it. Once again, you weren’t given time, so you’ll have to use the vertical distance to solve for time

9. A punter kicks a foot ball. After a hang time of 5.3 seconds the ball lands 65 meters away.

What is the vertical component of the ball’s velocity as it leaves the punter's foot?

You can’t use Sine, because you don’t have an angle. Use to find vertical velocity (remember that you only use half the hang time)

What is the horizontal component of the ball’s velocity?

How high does the ball go?

10. A stuntwoman wants to film a scene in which she drives a motorcycle off a 36.5 m high cliff. She would prefer to miss the rocks at the bottom of the cliff and land on the landing cushion which is on a barge that is anchored 111 meters away from the base of the cliff.

a) how much time will she have between flying off the edge of the cliff and knowing if she pulled off the stunt successfully?

b) How fast does she need to be going when she leaves the cliff edge? Horizontal motion

Answers

0.6 s

1.4 s

12.3 m/s

15.5 m/s

2.57 m

2.7 s

22 m

22.5 s

224.7 m/s

26.5 m/s

2761 m

3.5 s

35 m/s

3670 m

41.1 m

45 s

5.2 m/s

61.25 m

64.6 m

7026 m