A 10 m ladder leans against a vertical wall and the bottom of the ladder slides away from the wall at a rate of 0.3 meters per second. How fast is the top ladder sliding down the wall? (a) when the bottom of the ladder is 4 m from the wall? the height of the top of the ladder is changing at a rate of = m/sec this means the top of the ladder is sliding down at a rate of = m/sec (b) when the bottom of the ladder is 8 m from the wall? the height of the top of the ladder is changing at a rate of = m/sec this means the top of the ladder is sliding down at a rate of= m/sec what do you notice from the previous answers?
Unitary Method
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A 10 m ladder leans against a vertical wall and the bottom of the ladder slides away from the wall at a rate of 0.3 meters per second. How fast is the top ladder sliding down the wall?
(a) when the bottom of the ladder is 4 m from the wall?
the height of the top of the ladder is changing at a rate of = m/sec
this means the top of the ladder is sliding down at a rate of = m/sec
(b) when the bottom of the ladder is 8 m from the wall?
the height of the top of the ladder is changing at a rate of = m/sec
this means the top of the ladder is sliding down at a rate of= m/sec
what do you notice from the previous answers?
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