a) When he is 2 meters from the lamp-post, how fast is the length of his shadow decreasing? b) How fast is the tip of his shadow moving? Answers: 1)-500 k/ hr.

A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole?

Calculus Related Rates Problems Worksheet. 1) An 8-foot ladder is leaning against a wall. The top of the ladder is sliding down the wall at the rate of 2.

Related Rates. Solve each related rate problem. 1) Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min ...

Related Rates. Extra Practice Problems. 1. Two boats leave a harbor at the same time, boat A heading due east and boat B heading due south. (a) Find a formula ...

A person 2 m tall walks towards a lamppost on level ground at a rate of0.5 m/sec. The lamp on the post is 5 m high. How fast is the length ofthe person's shadow ...

1) A spherical balloon is deflated so that its radius decreases at a rate of 4 cm/sec. At what rate is the volume of the balloon changing when the radius is 3 ...

Practice Sheet - Related Rates Problems. 1. Gas is escaping from a spherical balloon at the rate of 2 fi³/min. How fast is the surface area changing when the ...

о. In a related rates problem, you have an equation relating two or more things that change over time, and we want to find the rate of change (a derivative) of ...

Section 2.6 (day 1) RELATED RATES – SAMPLE PROBLEMS. 1. Zoe is standing on a 6-meter ladder that is leaning against a wall when Jacob begins to pull the ...