Related Rates Objective Solve problems involving related rates

Related Rates Objective: Solve problems involving related rates

Piston Compression A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant speed of 3 cm/s. What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber?

Expanding Cube The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of each edge is 50 cm?

Bug on a parabola A bug is moving along the right side of the parabola y=x 2 at a rate that its distance from the origin is increasing at 1 cm/min. At what rates are the x and y coordinates of the bug increasing when the bug is at the point (2, 4)?

Bug on a parabola #2 (Classwork) A bug is moving along the right side of the parabola y=x 2. At what point on the parabola are the x and y coordinates changing at the same rate? Expanding Rectangle (Classwork) A rectangle initially has dimensions 2 cm by 4 cm. All sides begin increasing in length at a rate of 1 cm/s. At what rate is the area of the rectangle increasing after 20 s?

Clock Hands The hands of the clock in the tower of the Houses of Parliament in London are approximately 3 m and 2. 5 m in length. How fast is the distance between the tips of the hands changing at 9: 00?