16. A ladder 5 metres in length is
resting against vertical wall. The
bottom of the ladder is pulled along
the ground away from the wall at the
rate of 1.5 m/sec. When the foot of
ladder is 4.0 metres away from the
wall, the rate of decrease of the
height on the wall is: *
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2
Answer:
At any instant x
2
+y
2
=5
2
Differentiating w.r.t. time 2x
dt
dx
+2y
dt
dy
=0
When x=4;y=3
Here
dt
dx
=2,
dt
dy
=u⇒u=
3
8
m/s
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