The coordinates of a bird flying in the xy-plane are given by x(t)=t and y(t)=3.

Question

The coordinates of a bird flying in the xy-plane are given by x(t)=t and y(t)=3.0mt2, where =2.4m/s and =1.2m/s2.

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.Calculate the acceleration vector of the bird as a function of time. Calculate the magnitude of the bird's velocity at t=2.0s.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.

Explanation / Answer

X(t)=2.4t, y(t)=3.0-1.2t

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