This problem involves defining the trajectory of a cat chasing a mouse. The cat

Question

This problem involves defining the trajectory of a cat chasing a mouse. The cat
chases the mouse so that he always faces the mouse, and it runs with a velocity vector
which can have both a horizontal and vertical component. The mouse immediately
sees the cat and starts to run in the positive vertical direction (positive y direction)
with speed . Use the coordinate system shown below to derive the velocity (or
rate) equation for the cat relative to the mouse. Assume the cat starts at . After
finding the rate equations, form and solve the differential equation.
dy/dx=(y'/x')
Determine and plot the cat’s trajectory relative to the cat for the following case
w=10,z=-4,vm=2,vc=4

Explanation / Answer

Vcm = Vc- Vm = (4cosi+4sinj) - (2j) (where veocity of cat is 4 and mouse is 2)

= 4cosi + (4sin-2)j

whats w and z..the can you please clarify the question.

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