Hint: velocity is given by v(t) = x'(t)

this is given by(b) find the vector equation of the tangent line to the path of the particle at

t0 = (pi/4)

note, write x(t) as a point and v(t) as a vector

do this by plotting some points. use parts (a) and (b) to help(c) make a sketch of the path of the particle for 0<=t<=Pi, indicating the relevant positions and velocities from parts (a) and (b) above

(hint: draw the component curves)