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(a) An ant is walking on a flat table. Its velocity along the table has components=of vx = = 2.6mm/s and vy from t₁ = 10s to t₂ == -1.8mm/s at t₁ = 10s. For the time interval 20s, the average acceleration of the ant has magnitude 0.45mm/s² and direction 31.0 degrees measured from the positive x-axis toward the positive y-axis. At a time of t₂ = 20.0s, (i) what are the x- and y-components of the ant's velocity? (ii) What are the magnitude and direction of the ant's velocity? (iii) Sketch the velocity vectors at t₁ and t2. How do these two vectors differ? (b) If the position of an object is given by p = ut²x + vt³y where x and y are unit vectors in the x and y directions, respectively; and u and v are constants. When does the velocity of the object make an angle of 45 degrees with the x and y axis?[7 marks]

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