A 15 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and slides away from the wall at a rate of 2 {ft/sec}.
Find the velocity of the top of the ladder at time t=3.
The velocity of ladder at time t = 3 is
Find the velocity of the top of the ladder at time t=3.
The velocity of ladder at time t = 3 is
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dx/dt=2 ft/s
dy/dt l t=3 sec , x=3+6 , x=9
x and h are func. of t
so x(t)^2+h(t)^2=15^2
implicit diff. with respect to t is
2xdx/dt+2hdh/dt=0
2.9.2+ 2√(15^2-9^2)*dh/dt=0
dh/dt=-18/√(15^2-9^2) ft/sec
dh/dt=-3/2=-1.5 ft/sec
dy/dt l t=3 sec , x=3+6 , x=9
x and h are func. of t
so x(t)^2+h(t)^2=15^2
implicit diff. with respect to t is
2xdx/dt+2hdh/dt=0
2.9.2+ 2√(15^2-9^2)*dh/dt=0
dh/dt=-18/√(15^2-9^2) ft/sec
dh/dt=-3/2=-1.5 ft/sec