1. A particle moves with curvilinear motion with coordinates given by x = t2 - 4t + 20 and y = 3sin2t. Determine at t = 3 seconds: (a) the magnitudes of velocity and acceleration vectors, and (b) the angles which these vectors make with the x-axis.
2. With what minimum horizontal velocity u can a boy throw a rock at A and have it just clear the obstruction at B? (Note θ = 0, here).
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3. A projectile is launched from point A with the initial conditions shown in the figure. Determine the distance s which locates the point B of impact. Also calculate the time of flight t.
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