When `t = 10`, the particle is at `(5000, 400)`.
Here is the graph of the motion.
We are told that
x = 5t3
At t = 10, the velocity in the x-direction is given by:
`dx/dt = v_x=15(10)^2=1500\ "ms"^-1`
Also, y = 4t2 so the velocity in the y-direction is:
When t = 10, the velocity in the y-direction is:
So the magnitude of the velocity will be:
Now for the direction of the velocity (it is an angle, relative to the positive x-axis):
So `θ_v= 0.053` radians `= 3.05^@`.
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