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.
49. A baseball is hit 3 ft above home plate with an initial velocity of 〈60, 80, 80〉 ft/s. The spin on the baseball produces a horizontal acceleration of the ball of 10 ft/s2 in the eastward direction.
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