Question

A 5 meter ladder is leaned against a vertical Wall. The bottom of the ladder is being pushed toward the wall at a rate of 1 m/s. At what rate is the top of the ladder sliding up the wall when the bottom of the ladder is 3 meters from the wall?

Answer 1

Given q hm above figure we can say with respect t ។ v let = 'The horizontau distance berween bottom of laddog and wall y = Vertical Distance between Eround and top of ladder. so from that | +9°=52140 Now apply implicit derivative on both sides to time x+y3 = (5) ex dhe try to 24 h = - 2y du ale - -y NOW Given that da =-0.5 mls when 2= 3 m now find y: by plugging x=3 32g²= 62 at dy = ? dr in O.so (y=4

Now plug all the values in ( 2.so (3) (-0.5)=-4 dy d -1.5 dy -4 dy m/s = 0.375 Are