Question: The coordinates of a bird flying in the xy plane are given by x(t) = αt and y(t) = 3.0m - β2, where α = 2.4 m/s and β = 1.2 m/s2.
A) Calculate the velocity vector of the bird as a function of time.
B) Calculate the acceleration vector of the bird as a function of time.
C) Calculate the magnitude of the bird's velocity at t=2.0 s.
D) Let the direction be the angle that the vector makes with the +x axis measured counterclockwise. Calculate the direction of the bird's velocity at t=2.0 s.
E) Calculate the magnitude of the bird's acceleration at t=2.0 s.
F) Calculate the direction of the bird's acceleration at t=2.0 s.
G) At t=2.0 s, is the bird speeding up, slowing down or moving at constant speed?