Assignment 13DO NOT WRITE ON THIS PAPER!!

Angle Launched Projectiles

Name______

Period______

Angled Projectile Motion Problems

(HS1.6.4, HS5.1.1.4, HS5.1.1.6, HS5.1.2.6, HS5.1.2.C, HS5.1.1.3, HS1.4.1

Directions: Use the dual-column data list method

to solve the following projectile motion problems:

Example: A hungry coyote is shot out of a cannon with an initial speed of 50 m/s at an angle of

60 degrees from the horizontal. He returns to the ground at the same level from which he

started.

a. For how much time will the coyote be airborne?

b. How far will the coyote go in the horizontal direction?

c. What is the highest elevation above the ground that the coyote reaches?

Data List: Solution:

x / y / h
d / ? / 0 m / ?
t / ½ t total
vo / 50 m/s cos 60o / 50m/s sin 60o / 50m/s sin 60o
vf / 50 m/s cos 60o / - 50m/s sin 60o / 0 m/s
a / 0 m/s2 / -9.8 m/s2 / -9.8 m/s2
/


1. The punter on a football team tries to kick a football so that it stays in the air for a long

“hang time”. If the ball is kicked with an initial velocity of 25 m/s at an angle of 60o above

the ground,

  1. Calculate the “hang time”.
  2. How far does the ball go in the horizontal direction?
  3. What is the maximum altitude (height) the ball reaches?

2. A hunter is practicing hitting a target that is down range. If the arrow leaves

the bow at a velocity of 30 m/s at an angle of 40 degrees above the horizontal,

  1. Calculate how much time it takes for the arrow to return to the bow level.
  2. Find out how far down range the arrow goes.
  3. What is the maximum altitude the arrow reaches?

3. A ball is thrown at a launching angle of 52o above the horizontal from

one meter above the ground, with a velocity of 18 m/s.

  1. What is the highest barrier the ball can clear?
  2. How far will the ball go before being caught one meter above the ground?
  3. How much time does it take for the ball to get to the catcher?

4. Another ball is struck by a batter at an angle of 30o and leaves the bat at a speed

of 40 m/s at a distance of one meter above the ground. How fast and in what

direction should an outfielder who is standing 120 meters away run in order

to catch the ball at the same height it left the bat?

5. While trying to make some extra money to order more supplies from the

Acme supply catalog, a hungry coyote hires himself out to a circus to be the

bullet in a cannon stunt. The cannon is capable of only one speed….30m/s…

but its angle can be adjusted. The circus master tells the coyote that he better

not tear through the tent roof again (its 40 meters above), so the coyote adjusts

the cannon to what elevation above the horizontal?

6. In yet another escapade, the coyote launches himself at an angle of 40o across

a field to land into a net a distance away. He must clear a 50meter tall wall

positioned in the center of the field. With what speed should he launch himself

in order to just make it to the net?

7. Another stunt has the coyote riding a motorcycle up a 25o incline in order to jump

a canyon of width 20 meters.What minimum speed must he have in order to just

make it to the other side, touching down at the same level?

8. A bored kid, 30 meters from a building, throws a ball at an angle of 50o with a

velocity of 20 m/s at the building wall. At what height above the throwing level

will the ball hit the wall?

9. In an unfortunate skiing mishap, the coyote accidentally launches himself off

a rather large ski slope at an angle of 50 degrees above the horizontal with a

velocity of 100 m/s. He lands further down the slope, 250 meters below his

original elevation.

  1. How far did he travel horizontally during this maneuver?
  2. How high did he go above his landing point?