- #1
st0nersteve
- 4
- 0
Homework Statement
A man is swimming 3m/s down a river. The man is 50m from the edge and 1000m from the top of the river. If I am in a boat at the top corner of the river traveling 10m/s. what angle should i leave to reach the man.
NEED TO FIND ANGLE [tex]\Theta[/tex] AND TIME
Homework Equations
s = ut + 1/2at^2
The Attempt at a Solution
Opposite side
50 = 10sin[tex]\Theta[/tex]*t + 0
50 = 10sin[tex]\Theta[/tex]*t + 1/2*0*t^2
T=50/(10sin[tex]\Theta[/tex])
Adjacent side
1000=(10cos[tex]\Theta[/tex] - 3)*t
t= 1000/(10cos[tex]\Theta[/tex] - 3)
Therefore i need to find the point
t= 1000/(10cos[tex]\Theta[/tex] - 3)
&
T=50/(10sin[tex]\Theta[/tex])
meet
i know it works the answer is around 143secs and 2 degrees but i can't prove it mathematically
Thank u for future help