6834 Lecture Notes - Lecture 2: Projectile Motion, Kinematics

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Lecture 2
Projectile Motion and angular kinematics
- Background
oProjectile: something that is subject only to the forces of gravity and air resistance
oProjectiles can be dropped or projected
oScenario
We are working on landing mechanisms and training lower leg power in the
gym for my volleyball player. Before we do that I want to find out how high
my athlete is jumping I have got the take-off velocity from the floor based
on the technology we have used
- Uniform accelerated motion
oAcceleration is constant; like this for projectile motion
oUsing uniform acceleration (gravity) we can calculate velocity and distances travelled
oTo calculate velocity -vf = vI + at
oTo calculate displacement -d = vit + ½ at2
oTo calculate velocity without knowing time -vf2=vi2 + 2ad
oWhere
vf = final velocity
vi = initial velocity
d = displacement
t = time
a = acceleration
oposition, velocity and acceleration graphs for a projectile that goes straight up and
down ie vertical jump
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o
Velocity is the highest at the start (initial) an at the end (final) of the
movement
Because its at 0 on the seconds graph
oBecause its neither moving up or down and is about to
change direction
Velocity as start and end is the same
At the peak of the jump velocity is 0
Acceleration is constant
Acceleration due to gravity is 9.81 m.s2
- So how high has my athlete jumped?
oWe know the following
Initial velocity = 2.4 m.s-1
Acceleration = 9.81 m.s2
Final velocity = 0
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Document Summary

Background: projectile: something that is subject only to the forces of gravity and air resistance, projectiles can be dropped or projected, scenario. We are working on landing mechanisms and training lower leg power in the gym for my volleyball player. Before we do that i want to find out how high my athlete is jumping i have got the take-off velocity from the floor based on the technology we have used. Velocity is the highest at the start (initial) an at the end (final) of the movement. Because its at 0 on the seconds graph: because its neither moving up or down and is about to change direction. Velocity as start and end is the same. At the peak of the jump velocity is 0. So how high has my athlete jumped: we know the following. And also the height; the apex: initial velocity vector = projectile motion, components.

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