Question

1) Find the highest point in the trajectory .
2) What is the range of the projectile?
3) Find the angle above the horizontal at which the projectile should be fired
4) What is the initial speed?
- See attachment for the graph with the info

Answer 1

First resolve components for initial velocity,
\[v _{ix} = v _{0}\cos \theta\]
\[v _{iy}=v _{0}\sin \theta\]
At highest point in the trajectory,
\[v _{fy}=0\]
Use equation \[v _{fy}^{2}=v _{iy}^{2}+2as\]
\[0=v _{iy}+2gs\]
\[s=-v _{iy}/2g\]
\[s=-(v _{0}\sin \theta)/2g\]

Answer 2

2) \[v _{x}=R/t\]
\[R=v _{x}t\]

Answer 3

3)
\[\tan \theta=(v _{fy})/(v _{fx})\]

Answer 4

4)
Use any one equation,
\[v _{iy}=v _{0}\sin \theta\]
\[v _{ix}=v _{0}\cos \theta\]