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Projectiles at an AnglePowerPoint Presentation

Projectiles at an Angle

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Projectiles at an Angle

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Projectiles at an Angle

Physics

Mrs. Coyle

http://www.physicsclassroom.com

- Motion in two dimensions
- x-axis constant velocity
- y-axis constant acceleration
- Parabolic trajectory

- vxi=vcosq
- vyi=vsinq

v

- Initial Velocity is at an angle with the horizontal
- vx=constant
- vy=vyi+at a=-10m/s2
- Dy=vyit+ 1at2
2

- At the max height: vy=0
vx=constant=vxi

- Maximum range when q=45 degrees in the absence of air resistance.
- Complementary angles result in the same range.
- Symmetry
- Resultant velocity is tangent to the curve at the point of study.

Projectiles at an Angle

An arrow is shot with an initial x velocity

of 5m/s and an initial y velocity is 15m/s.

- How much time will pass for the projectile to reach max height?
- What is the max height?
- What is the range? Answer:
a) t=1.5s , b)y= 11.25m, c) x=15m

A cannonball is shot with an initial x

velocity of 60m/s and an initial y velocity

of 25m/s.

a)What is the max height?

b)What is the range?Answer: a) t=2.5s, y=31.25m b) x=300m

A cannonball is shot at 60 degrees with

an initial velocity of 40m/s.

a)What is the max height?

b)What is the range?

c)At what angle should the projectile be shot to achieve max range and what is the max range? a)Vx=20m/s, Vy=34.64m/s, t max=3.5s, y=61mb) 140m, c) 45o , 163m