A shot-putter launches the shot from a vertical distance of \(2.0 \mathrm{~m}\) off the ground (from just above her ear) at a speed of \(12.0 \mathrm{~m} / \mathrm{s}\). The initial velocity is at an angle of \(20^{\circ}\) above the horizontal. Assume the ground is flat.

(a) Compared to a projectile launched at the same angle and speed at ground level, would the shot be in the air (1) a longer time, (2) a shorter time, or (3) the same amount of time?

(b) Justify your answer explicitly; determine the shot's range and velocity just before impact in unit vector (component) notation.