Three-dimensional motion Consider the motion of the following objects. Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical and opposite g, the ground is horizontal, and only the gravitational force acts on the object unless otherwise stated.a. Find the velocity and position vectors, for t ≥ 0.b. Make a sketch of the trajectory.c. Determine the time of flight and range of the object.d. Determine the maximum height of the object. A bullet is fired from a rifle 1 m above the ground in a northeastdirection. The initial velocity of the bullet is ⟨200, 200, 0⟩ m/s.

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