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Part 1
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 left angle 200 comma 200 comma 0 right angle
.
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 tgreater than or equals
0.
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.