Question

The coordinates of a bird flying in the xy plane are given by x(t)=?t and y(t)=3.0m??t2, where ?=2.4m/s and ?=1.2m/s2

Part 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.

Part 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.

Part C:

Calculate the magnitude of the bird's velocity at t=2.0 s.

Express your answer using two significant figures.

Part 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.

Express your answer in degrees using two significant figures.

Part E:

Calculate the magnitude of the bird's acceleration at t=2.0 s.

Express your answer using two significant figures.

Part F: Calculate the direction of the bird's acceleration at t=2.0 s

Part G: At t=2.0 s, is the bird speeding up, slowing down or moving at constant speed?

Answer 1