Math Is Fun Forum

Oran2009

Member

Registered: 2016-06-13

Posts: 21

Initial Velocity Vector and Diagram from Parametric Equation

I have a project where we have to throw an object and find the velocity of it. I have found the parametric equations of the path of the object to be:

I have found that the initial velocity vector is:

Firstly, is this correct?

Secondly, we are required to make a diagram showing the initial velocity vector and the components. How am I to do this accurately on the graph (in Desmos)?

Last edited by Oran2009 (2018-05-22 12:32:46)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Initial Velocity Vector and Diagram from Parametric Equation

hi Oran2009

The horizontal component of velocity will be a linear expression and the vertical a quadratic so those equations look right.  But the values will depend on your initial throw (magnitude and direction) so I'll have to assume you have those right.

Your initial velocity calculations are then correct.

I do not use Desmos but I'm sure any graph plotter will allow you to enter those equations to get a graph of velocity against time. 

Bob

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