The velocity vector of a ball is v(t)=-3x^+4y^ at any time. Its initial position is r=12x-4y. The components of the velocity vector are in m/s and the components of the position vector are in meters. The symbols xˆ and yˆ are the unit vectors in x and y directions respectively.
a) Find the magnitude of the velocity vector and the angle it makes with the positive x-axis.
b) Find in component form (using the unit vectors xˆ and yˆ ) the displacement vector 2 seconds later.
c) Find the final position vector in component form at the end of 2 seconds.
d) Find the average acceleration vector.