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:
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)?
[FONT=MathJax_Math-italic]x[FONT=MathJax_Main]([FONT=MathJax_Math-italic]t[FONT=MathJax_Main])[FONT=MathJax_Main]=[FONT=MathJax_Main]0.627273[FONT=MathJax_Math-italic]t[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]0.211364[/FONT][FONT=MathJax_Main])[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
[FONT=MathJax_Math-italic]y[FONT=MathJax_Main]([FONT=MathJax_Math-italic]t[FONT=MathJax_Main])[FONT=MathJax_Main]=[FONT=MathJax_Main]−[FONT=MathJax_Main]0.658275[/FONT][FONT=MathJax_Math-italic]t[FONT=MathJax_Main]2[/FONT][/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]1.96578[/FONT][FONT=MathJax_Math-italic]t[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]0.014545[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
I have found that the initial velocity vector is:[FONT=MathJax_Math-italic]y[FONT=MathJax_Main]([FONT=MathJax_Math-italic]t[FONT=MathJax_Main])[FONT=MathJax_Main]=[FONT=MathJax_Main]−[FONT=MathJax_Main]0.658275[/FONT][FONT=MathJax_Math-italic]t[FONT=MathJax_Main]2[/FONT][/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]1.96578[/FONT][FONT=MathJax_Math-italic]t[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]0.014545[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
[FONT=MathJax_Math-italic]v[FONT=MathJax_Main]2[FONT=MathJax_Main]=[FONT=MathJax_Main]0.627273[FONT=MathJax_Main]2[FONT=MathJax_Main]+[FONT=MathJax_Main]1.96578[FONT=MathJax_Main]2[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
[FONT=MathJax_Math-italic]v[FONT=MathJax_Main]=[FONT=MathJax_Main]2.06343461853[/FONT][/FONT][/FONT]
[FONT=MathJax_Math-italic]v[FONT=MathJax_Main]([FONT=MathJax_Math-italic]t[FONT=MathJax_Main])[FONT=MathJax_Main]=[FONT=MathJax_Main]([FONT=MathJax_Main]0.627273[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]1.96578[/FONT][FONT=MathJax_Main])[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
Firstly, is this correct?[FONT=MathJax_Math-italic]v[FONT=MathJax_Main]=[FONT=MathJax_Main]2.06343461853[/FONT][/FONT][/FONT]
[FONT=MathJax_Math-italic]v[FONT=MathJax_Main]([FONT=MathJax_Math-italic]t[FONT=MathJax_Main])[FONT=MathJax_Main]=[FONT=MathJax_Main]([FONT=MathJax_Main]0.627273[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]1.96578[/FONT][FONT=MathJax_Main])[/FONT][/FONT][/FONT][/FONT][/FONT][/FONT][/FONT]
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)?