sketching the path

[NE2000]

do you put arrows to show the direction of movement?

[jimmy999]

I'm assuming this is to do with vector functions. In which case you should. Although some paths actually have more than one direction so you would have to specify that as well

[thisongaintgottaname]

i always wonder for hyperbola paths how does the particle skip/hop/whateva to the other side within just 0.0000000000001 second.

[TrueTears]

If it says sketch the path, ie just the actual 'path' then I normally don't put arrow in.

If there's a part of the question that actually says "describe the motion of the particle and the direction in which it travels in", then I'd put an arrow to show direction.

[Mao]

It is generally good practice to include the direction of the path whenever a sketch is required.

i always wonder for hyperbola paths how does the particle skip/hop/whateva to the other side within just 0.0000000000001 second.

The particle cannot. Hyperbolic paths have parameters where position is not defined (i.e. for some t values x(t) and y(t) are undefined). Hence both sides of a hyperbola cannot model the motion of a particle, since it will require the particle to 'not exist' for certain values of t.