1. The position of a bird in the xy-plane is given by ?⃗ = (3.0?−∝ ?)?̂+ ?? 2 ?̂where ∝= 1.6 ?/? and ? = 0.8 ?/? 2 . a) What are Vx(t) and Vy(t), x and y components of the velocity of the bird as a function of time? b) What is the bird’s net velocity at 3.0 s (magnitude and direction)? c) What are ax(t) and ay(t), x and y components of the acceleration of the bird as a function of time? d) What is the bird’s net acceleration at 3.0 s (magnitude and direction)? e) Sketch the velocity and acceleration vectors at 3.0 s. At this instant, is the bird speeding up, slowing down or is its speed instantaneously not changing? Is the bird turning? If so, in which direction? Explain your reasons.
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