a) You are firing a projectile from ground level at a point that is three times as far away as…

a) You are firing a projectile from ground level at a point that is three times as far away as it is high. You want the projectile to follow a trajectory so that when it reaches the target, it is approaching horizontally. Show that the angle you must fire the projectile at is given by Tan(theta)= 2/3.

 

b) If h= 14.0 m, what must initial velocity equal (in meters/second) in the situation described above?

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3) a) You are firing a projectile from ground level at a point that is throp tjfnps as high as itisfa- away (see

above diagram). You want the projectile to follow a trajectory so that when it reaches the target, it is
approaching horizontally. Show that the angle you must fire the projectile at is given by:

tan? = ?

b) lf h = L4.0 m, what must vs eQual (in m/s) in the situation described above?

c) Consider the trajectories for projectiles with the same launch speed, but different elevation angles. lf you
launch a large number of such projectiles simultaneously, will any of them ever collide while in flight?
Explain your answer carefully; support your reasoning with equations.

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tan? = ?3

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3) a) You are firing a projectile from ground level at a point that is three tjmps as high as it is fa- away (see

above diagram). You want the projectile to follow a trajectory so that when it reaches the target, it is
approaching horizontally. Show that the angle you must fire the projectile at is given by:

b) lf h = L4.0 m, what must ve eQual (in m/s) in the situation described above?

c) Consider the trajectories for projectiles with the same launch speed, but different elevation angles. lf you
launch a large number of such projectiles simultaneously, will any of them ever collide while in flight?
Explain your answer carefully; support your reasoning with equations.