The path r(t)=(t-sin(t))i + (1-cos(t))j describes motion on the cycloid x=t-sin(t), y=1-cos(t). Find the particle's velocity and acceleration vectors at t=3π/2.
a) Velocity: -i, Acceleration: j
b) Velocity: j, Acceleration: i
c) Velocity: -j, Acceleration: -i
d) Velocity: i, Acceleration: -j