A particle moves along a path given by:

x(t) = 3cos(πt) and y(t) = 5sin(πt) and 0≤t≤6

1) Velocity vector fot the particle at any time t?

I just took the derivative of x(t) and y(t). Is that correct?

2) Write an integral expression that gives the distance between t=1.25 and t=1.75

Not sure what to do here.

Help appreciated.