Related rates description. Example problem using Hooke's law.

Step-by-step guide to solving related rates problems. Worked examples involving a speeding driver and a point moving on the x-axis.

Related rates worked example.

Finding the rate at which a particle moving on the x-axis is moving away from a point on the y-axis.

Solution (PDF) Page 1

Finding the rate of change of a particle's distance from the y-axis as it moves around the unit circle.

Solution (PDF) Pages 2 to 3

Two problems which involve a melting icicle and a melting block of ice.

Solution (PDF) Pages 13 to 15

Finding the rate of change of the radius of a balloon with decreasing volume.

Solution (PDF)^# Page 6

Finding the time for a substance to decay to one-fourth its original amount, and the rate at which it is decaying at this time.

Solution (PDF)^# Page 7

Two questions involving the rate of change of the angle of a falling tree and the rate of change of the water level in a cone.

Solution (PDF)^# Page 2

Finding the rate at which a prisoner needs to run to stay ahead of a searchlight

Solution (PDF)^# Page 1

Finding the rate of change of the angle at which a person is watching a rocket ten seconds after it takes off

Solution (PDF)^# Page 2

Finding the rate at which the shadow of a falling Christmas tree is lengthening.

Solution (PDF)^# Page 1

Ten questions which include finding the rate of change of a robot's shadow, the rate at which the distance between two boats is increasing, and the rate of change of the thickness of oil in a frying pan.

Solution (PDF - 4.0 MB) Pages 28 to 30