If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Derivative applications challenge

You might need: Calculator


A 13, start text, space, m, end text ladder is leaning against a wall when its base begins to slide away from the wall. By the time the base is 12, start text, space, m, end text from the wall, it is moving at a rate of 5, start text, space, m, slash, s, end text (meters per second).
At that moment, what is the vertical velocity of the top of the ladder?
Your answer should be negative since the top of the ladder is falling.
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
start text, m, slash, s, end text