Recent content by vthenry

ok somehow after differentiating and setting d(t)/d(theta) = 0 and some algebraic minipulation i am left with this cos(theta)+sin(theta)tan(theta)+tan(theta)=0 i have no idea if this is correct or not.. but how do i solve this now ?

wow the equation i have to solve is too difficult set dt/d(theta) = 0 and i have this eqaution T(theta) T=t_swim+t_run T=\frac{h}{Vswim*cos\theta} + (\frac{Vriver-Vswim*sin\theta}{Vrun})*tswim how am i going to solve this now for the optimal angle to minimize time ?

ok so, i have this equation now which i have to take the derivative of T_total = k/Vrun + h/(Vswim(y component)) k=T_swim(Vriver-Vswim(x component))

hey i don't understand this part "as that time to cross times the river speed less whatever angle against the current he swam and all that divided by his running velocity on land" thanks

hey thanks for helping =) ill try it and let you know how i do cheers, vthenry

Homework Statement find the optimal angle so that the time required for the swimmer,runner to cross the river (directly opposite starting position) is minimum. the swimmer swims to one point at the end of the river then he/she will run to the target(opposite from starting position) swim...