Lesson: Related Rates

In this lesson, we will learn how to use derivatives to find the relation between the rates of two or more quantities in related rates problems.

Sample Question Videos

06:33
08:25
02:17

Worksheet: 25 Questions • 3 Videos

Q1:

A man pulls a car towards himself with the use of a rope on a pulley attached 24 m above the ground, directly above him. If he pulls the rope at 4 m/min, what is the speed of the car when it is 10 m away from him?

Q2:

Two ships leave a port at the same time. The first sails east at 30 km/h. The other sails south at 40 km/h. What is the rate of change of the distance between them 5 hours later?

Q3:

A rectangular piece of metal has a length that exceeds its width by 45 cm, and upon cooling, it shrinks in a way that its length is always 45 cm more than its width. Given that its length decreases at a rate of 0.026 cm/s at the moment when its width is 90 cm, determine the rate of change of its area at this moment.

Preview Download