5. Projectile Motion

A flare gun launches signal flares with an initial speed of 110 m/s. How far does the flare travel if it is shot at ground level at an angle 65° above the horizontal?

(II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 3–44)? Why are there two different angles? Sketch the two trajectories. 

<IMAGE>

(II) At what projection angle will the range of a projectile equal its maximum height?

(II) Exactly 3.0 s after a projectile is fired into the air from the ground, it is observed to have a velocity  v (→ above v) = (7.8 î + 5.2 ĵ) m/s , where the x axis is horizontal and the y axis is positive upward. Determine 

(a) the horizontal range of the projectile, 

A hunter aims directly at a target (on the same level) 38.0 m away. 

(b) At what angle should the bow be aimed so the target will be hit?