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berkdude022
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Homework Statement
In hot pursuit, Agent Logan of the FBI must get directly across a 1200-m-wide river in minimum time. The river's current is 0.80 m/s, he can row a boat at 1.60 m/s, and he can run 3.00 m/s. Describe the path he should take(rowing plus running along the shore) for the minimum crossing time, and determine the minimum time.
Homework Equations
x = vt
x = x + (vi)t - (1/2)gt^2
and other kinematic equations
The Attempt at a Solution
So I have been trying to figure out this problem for quite a long time and this is what I have come up with so far:
https://physicsforums-bernhardtmediall.netdna-ssl.com/data/attachments/71/71483-dee2797c012ada0b48bcaee676e9239a.jpg The last equation should be y = +3t2
My first step is to take equations 2 and 3 and equate them. Next I replace the t1 value from the second equation with the first equation.
when I simplify, I end up getting t2 = (750(1.6sinΘ -.8))/(3cosθ)
from there I am not really sure what to do. If anyone could help me step-by-step I would really appreciate it.
The solution is "Row at an angle of 24.9° upstream and run 104m along the bank in a total time of 862 seconds."
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