A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the doc?
Oct 21, 2008 by Tuan N | Posted in Engineering
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it
L is the length of the rope and x is the distance of the boat from the dock
L^2=1^2+x^2
when x=5, L=sqrt(26)
2*L*dL/dt=2*x*dx/dt
dL/dt= 1 m/s constant
========
Solve for dx/dt when x=5 m/s, L=sqrt(26), and dL/dt=1
Paco | Oct 21, 2008
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