Consider the motion of a bullet that is fired from a rifle 4 m above the ground in a northeast direction. The initial velocity of the bullet is (150, 150,0). Assume the x-axis points east. the y-axis points north, the positive z-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object a. Find the velocity and position vectors for t20. b. Make a sketch of the trajectory c. Determine the time of flight and range of the bullet d. Determine the maximum height of the bullet.

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