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Compute each part of given problem:

Problem: A particle is moving in the xy plane with constant acceleration. At t = 0, it has a velocity of v = (4.00i ! 5.00j) m/s. At t= 4.00 s, the particle's velocity is v = (3.50i + 2.00j) m/s.

Part A: What is the speed of the particle at t = 0?

Part B: Determine the acceleration of the particle (both magnitude and direction).

Part C: How far is the particle from the origin at t = 6.00s? What is the angle the position vector makes at t =6.00 s with the positive x-axis?

Please Show all work and steps for above problem.

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