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 golf ball is hit east down a fairway with an initial velocity of⟨50, 0, 30⟩ m/s. A crosswind blowing to the south produces anacceleration of the ball of -0.8 m/s2.

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 golf ball is hit east down a fairway with an initial velocity of⟨50, 0, 30⟩ m/s. A crosswind blowing to the south produces anacceleration of the ball of -0.8 m/s2.