5. Projectile Motion

In a symmetrical projectile launch, a ball is fired from ground level at an angle $\theta$ above the horizontal with initial speed $v_0$. Neglecting air resistance, which of the following statements about the ball's motion is correct?

Symmetry can be found in which of the following scenarios involving $projectile motion$?

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?

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. 

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

You're 6.0 m from one wall of the house seen in FIGURE P4.55. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground. At what angle should you toss the ball?

Exactly 3.0 s after a projectile is fired into the air from the ground, it is observed to have a velocity ,  where the x-axis is horizontal and the y-axis is positive upward. Determine the horizontal range of the projectile. 

A hunter aims directly at a target (on the same level) 38.0 m away. At what angle should the bow be aimed so the target will be hit?