- #1
hkBattousai
- 64
- 0
There are two points on the 2D rectangular coordinate system, namely P and M.
Their positions are function of time and are:
[tex]Position \, of \, P: \, (p_x(t), \, p_y(t))[/tex]
[tex]Position \, of \, M: \, (m_x(t), \, m_y(t))[/tex]
Distance between them is:
[tex]R(t) \, = \, \sqrt{(p_x - m_x)^2 \, + \, (p_y - m_y)^2}[/tex]
And the relative speed (magnitude of relative velocity) between them is:
[tex]V_{pm}(t) \, = \, - \frac{dR}{dt}[/tex]
Is it correct up to this step?
If so, can you please help me take this derivative?
If not, how do I calculate this relative speed?
Any help will be appreciated.
Their positions are function of time and are:
[tex]Position \, of \, P: \, (p_x(t), \, p_y(t))[/tex]
[tex]Position \, of \, M: \, (m_x(t), \, m_y(t))[/tex]
Distance between them is:
[tex]R(t) \, = \, \sqrt{(p_x - m_x)^2 \, + \, (p_y - m_y)^2}[/tex]
And the relative speed (magnitude of relative velocity) between them is:
[tex]V_{pm}(t) \, = \, - \frac{dR}{dt}[/tex]
Is it correct up to this step?
If so, can you please help me take this derivative?
If not, how do I calculate this relative speed?
Any help will be appreciated.