How to solve the following problems? Please show steps and explanations.

3-5 and 3-6 Projectile Motion (neglect air resistance)

19) A fire hose held near the ground shoots water at a speed of 6.8 m/s. At what angle(s) should the nozzle point in order that the water land 2.0 m away? Why are there two different angles?

29) Suppose a kick is attempted 36 m from the goalposts, whose crossbar is 3 m above the ground. If the football is directed correctly between the goalposts, will it pass over the bar and be a field goal? Show why or why not.

31) A projectile is shot from the edge of a cliff 125 m above the ground level with an initial speed of 65 m/s at an angle of 37 degrees with the horizontal.

• (a) Determine the time taken by the projectile to hit point P at ground level.
• (b) Determine the unknown range of the projectile as measured from the base of the cliff
• (c) At the instant just before the projectile hits Point P, find the horizontal and the vertical components of its velocity
• (d) Find the magnitude of the velocity
• (e) Find the angle made by the velocity vector with the horizontal
• (f) Find the max height above the cliff top reached by the projectile