1 / 10

# Projectile Motion Competition - PowerPoint PPT Presentation

Projectile Motion Competition. Ready, set….calculate!. Woo Hoo ! New Equation!. The Range Equation: Range = (V 0 2 / g) * sin(2 θ ) Describes how far downrange a projectile will land if shot at an angle θ and an initial velocity of V 0 . Problem 1: (starting out easy…).

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Projectile Motion Competition' - lynne

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Projectile Motion Competition

Woo Hoo! New Equation!

• The Range Equation:

• Range = (V02 / g) * sin(2θ)

• Describes how far downrange a projectile will land if shot at an angle θ and an initial velocity of V0.

• A punter kicks a football at an angle of 400 from the horizontal at an initial velocity of 60m/s.

• What are V0X and V0Y?

• V0X = 45.96m/s, V0Y = 38.568m/s

• Same football player. Same 400 from the horizontal and same 60m/s.

• How long is the ball in the air?

• T = 7.87 sec

• The aforementioned punter still kicks the ball at 60m/s at 400 from the horizontal.

• How high does the ball go?

• Height = 75.89m

• Same player yet again. 400 from the horizontal, 60m/s.

• How far downfield does the ball go?

• Distance = 361.7 m

• A boy stands on a cliff that is 300 m high. He throws a baseball 40m/s horizontally.

• How long does it take the ball to hit the ground?

• How far does it land (horizontally) from the base of the cliff?

• Time = 7.82 sec

• Distance = 312.8 meters

• Two miscreants with a catapult seek to destroy a garniture 100 meters away.

• If the catapult throws its ammunition at an angle of 300 above the horizontal, with what initial velocity must the rock have in order to hit the target?

• V0 = 33.64m/s

• Patches O'Houlihan maintains that if you can dodge a wrench, you can dodge a ball.

• If he throws a wrench at your forehead from 15 meters away at a speed of 36 m/s, how long do you have to get out of the way?

• If it were thrown horizontally, how far has it fallen vertically before it reaches you?

• Reaction time = 0.416 m/s,

• Vertical distance = 0.85 meters

• Wile E. Coyote (Road-Runnerusdigestus) attempts to catch his prey by donning a pair of rocket skates. He accidentally hits a ramp of angle 250 at a speed of 140 m/s. Assume his skates run out of gas the moment he leaves the ramp.

• Will he clear a cliff face 33.5m higher than the lip of the ramp that is 75 meters away? If so, by how much and if not, by how little?

• No. At 75 m, you are 33.19m high.