When t = 10, the particle is at (5000, 400).

Here is the graph of the motion.

Note:

• The axes are x and y (and do not involve t).
• The particle is accelerating as time goes on (the red dots are at one second intervals)

We are told that

x = 5t³  

So

At t = 10, the velocity in the x-direction is given by:

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°.