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

Question

The coordinates of a bird flying in the xy plane are given by x(t)=alpha*t and y(t)=3.0m-beta*t^2, where alpha=2.4m/s and beta=1.2m/s^2. Calculate the velocity vector of the bird as a function of time. 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. Calculate the magnitude of the bird's acceleration at t=2.0s. Calculate the direction of the bird's acceleration at t=2.0s. At t=2.0s, is the bird speeding up, slowing down or moving at constant speed? Please show steps if possible, thanks.

Explanation / Answer

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