The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0mβt2 , where α=2.4m/s and β=1.2m/s2
A.) Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3t and the y component is 4t, then you should enter 3t,4t. Express your answer using two significant figures for all coefficients.
B.)Calculate the acceleration vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3t and the y component is 4t, then you should enter 3t,4t. Express your answer using two significant figures for all coefficients.
C.) Calculate the magnitude of the bird's velocity at t=2.0s
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=2.0s .
E.) Calculate the magnitude of the bird's acceleration at t=2.0s
F.) Calculate the direction of the bird's acceleration at t=2.0s.