Displacement is Select one: a. another way to say position vector. b. not a vector quantity though it has magnitude and direction c. dependent on where you place your zero vector. d. dependent on the coordinate system e. independent of coordinate system

Therefore correct option is (a)

Explanation:

DISPLACEMENT of a body is defined as the smallest distance covered by body along its journey.

Displacement is a vector quantity as it depends on the direction where body is moving.

It is independent of where you place zero vector as the distance traveled is measured relative to the initial point.

Therefore correct option is (a)

The minimum initial speed of the cannon ball is approximately 99.018 m/s

Explanation:

The parameters of the cannon are;

The maximum horizontal distance reached, R = 3,279 ft. ≈ 999.4392 m

The maximum horizontal range, , is given by the following formula;

Where;

u = The initial speed

g = The acceleration due to gravity ≈ 9.81 m/s²

= 999.4392 m

We get;

u = √(g × )

∴ u = √(9.81 m/s² × 999.4392 m) ≈ 99.018 m/s

The minimum initial speed of the cannon ball (just as it leaves the cannon) that is needed for it to reach this distance, in m/s, u ≈ 99.018 m/s.