horizontal projectiles physics mrs. coyle. horizontal projectiles are launched with a horizontal...
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Horizontal Projectiles
PhysicsMrs. Coyle
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Horizontal Projectiles are launched with a horizontal initial velocity.
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Horizontal Projectiles
http://www.physicsclassroom.com/mmedia/vectors/hlp.cfm
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Remember “Boat and River”
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Motion in Two Dimensions
http://www.physicsclassroom.com/mmedia/vectors/hlp.cfm
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Which falls first?
A free falling object
Or
A horizontal projectile from the same height
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Which falls first?
A horizontal projectile
Or
A horizontal projectile from the same height with a higher initial
horizontal speed
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Question
A zoologist is aiming at a monkey with a tranquilizer gun. Both are at the same level. The monkey is about to jump. Should the zoologist aim horizontally or low in order to tranquilize the monkey?
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Horizontal Projectiles
Two dimensional motion
Initial velocity is entirely horizontal
X-axis : constant velocity
Y-axis : constant acceleration
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A Look at the Velocities
Vx= constant
Vyi=0
Vy = a t
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Animation
http://www.physicsclassroom.com/mmedia/qt/vectors/hlpwin.cfm
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Characteristics of Path
Trajectory
Parabola
Range
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Equations for Horizontal Projectiles
x direction: use any equation for const. velocity motion
y direction: use any equation for const acceleration
x=vx t ____
y= 1 at2 t= √2y/a 2 vY=at
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Example 1
A cannon ball is fired horizontally from the top of a 90 m tall cliff with an initial velocity of 20 m/s.
a) How long did the ball take to reach the ground?
b) What was the range?c) What was the x and y-velocity of the ball right
before it hit the ground?
Answer: a)4.3sec , b) 85.7m c) Vx= 20m/s Vy=42m/s
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Example 2
A diver dives horizontally out from a 9 mplatform with a velocity of 3m/s. How farout did he dive (range)?
Answer: t=1.35s, x= 4m
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http://www.walter-fendt.de/ph11e/projectile.htm
Projectile Applet