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8618005
Projectiles
Description
A-Levels Further Mathematics Flowchart on Projectiles, created by Alex Burden on 21/04/2017.
No tags specified
projectiles
mechanics 2
a-level
maths
further mathematics
wjec
mathematics
further mathematics
a-levels
Flowchart by
Alex Burden
, updated more than 1 year ago
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Created by
Alex Burden
over 7 years ago
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Resource summary
Flowchart nodes
Projectiles
Consider vertical and horizontal components separately
The only force acting vertically is the constant force due to gravity
There are no forces acting horizontally (ignoring air-resistance) ⇒ no acceleration ⇒ velocity is constant∴ the only equation of motion iss=ut
The trajectory is symmetrical
The time of flight is twice the time taken to reach the highest point
To find the range, use s=uT where T=time of flight and u=initial horizontal speed
The direction of motion is given by the direction of the velocity
A particle projected with speed v at angle θ to the horizontal will strike the ground at the same level with speed v at angle θ to the horizontal
Let Vy be the vertical component of the accelerationLet Vx be the horizontal component of the velocity
Projectile Motion Components Picture (image/jpeg)
https://dvapphysics.wikispaces.com/Projectile+Motion
Projectile Motion1 (image/jpeg)
To find the time of flight;Find t when vertical displacement is zero:s=0
To find the greatest height;Find the vertical displacement when Vy=0Find the vertical displacement using t=1/2 x T
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