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 (100,100,0). 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. a. The velocity vector is v(t) = (Simplify your answers. Use integers or decimals for any numbers in the expressions.)