- #1
asdf1
- 734
- 0
If m1 is thrown with an angle of [tex]\theta[/tex] from the ground at the same time m2 drops in free motion from the top of a ceiling, prove that
(1) If m1 aims at m2, as long as the initial velocity is large enough, m1 will hit m2
(2) The inital velocity V must be larger than [tex][gR/(sin2\theta]^1/2[/tex]
My calculations:
for m1:
1. R=Vcos[tex]\theta[/tex]t
2. y1=Vsin[tex]\theta[/tex]t-0.5g[tex]t^2[/tex]
for m2:
y2=0.5g[tex]t^2[/tex]
but I'm stuck on what to do next...
(1) If m1 aims at m2, as long as the initial velocity is large enough, m1 will hit m2
(2) The inital velocity V must be larger than [tex][gR/(sin2\theta]^1/2[/tex]
My calculations:
for m1:
1. R=Vcos[tex]\theta[/tex]t
2. y1=Vsin[tex]\theta[/tex]t-0.5g[tex]t^2[/tex]
for m2:
y2=0.5g[tex]t^2[/tex]
but I'm stuck on what to do next...