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kinematics (projectile)

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can someone provide me with some brief good notes on this topic? will be helpful :)
 

KZW

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Well, generally for projectiles, they'll give you a question where they will give you an angle, and an initial velocity.

The very first thing you'll have to do is to find the horizontal and vertical components using SOH CAH TOA.
Vertical: u sin theta
Horizontal: u cos theta

Where "u" is the initial velocity, and theta being the angle at which the projectile is fired.

Second thing is to find out what exactly the question is asking.
You will be asked to find one or more of 3 things:
-Maximum height
-Range
-Time taken for projectile to move to maximum height/ move the length of the range.

They will always give you something to work from, such as the maximum height, or the range.
From then you will just need to use the equations for linear motion, and this is where horizontal and vertical components come in.

eg. v^2 = u^2 - 2as
s= ut + 1/2 at^2
etc.

Most times you'll have to find the time taken for the projectile to move to the highest point, even if the question does not specifically ask for it , so you can find the range, and the most reliable way is to use the vertical component of the initial velocity, and stick that into one of the rearranged linear motion equations, and using 9.81 as the value for acceleration (gravity).

Hope it helps. This is as brief as I could get it :p
 
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