A particle is moving in two dimensions such that in Cartesian coordinates,
x = A(2at - sin(at))
y = A(1 - cos(at))
Where A and a are constants.
a) Discover the times at which the magnitude of the acceleration is maximum.
b) Discover the tangential component of acceleration (acceleration in the direction of motion) as a function of time.
c) Discover the normal component of acceleration (acceleration perpendicular to the direction of motion) as a function of time.