A 13-meter ladder leans against a vertical wall. Its foot moves away from the wall at 2 m/s. How fast is the top sliding down when the foot is 5 m from the wall?

A 10-meter ladder leans against a wall. Its foot is pulled away at 3 m/min. How fast is the top sliding down when the foot is 6 m from the wall?

A 17-meter ladder has its foot moving away from a wall at 4 m/s. How fast is its top sliding down when the foot is 8 m from the wall?

A 25-meter ladder leans against a wall. When its foot is 7 m from the wall, the top slides down at $\frac{3}{2}$ m/s. How fast is the foot moving away from the wall?

A 15-meter ladder forms a right triangle with a wall and the ground. Its foot moves away at 2 m/s. How fast is the triangle's area changing when the foot is 9 m from the wall?

Water enters a cone-shaped tank, vertex down, at 8 m³/min. The tank is 10 m tall with top radius 5 m. How fast is the water level rising when the water is 4 m deep?

A cone-shaped tank is 12 m tall with top radius 3 m. Water drains at 9π m³/min. How fast is the water level changing when the water is 6 m deep?

Water enters a cone-shaped tank at 32π m³/min. The tank is 15 m tall with top radius 6 m. How fast is the water level rising when the water is 5 m deep?

A cone-shaped tank is 9 m tall with top radius 6 m. Water drains at 12π m³/min. How fast is the water level changing when the water is 3 m deep?

A cone-shaped tank is 20 m tall with top radius 5 m. Water enters at 5π m³/min. How fast is the water-surface radius increasing when the water is 8 m deep?

A spherical balloon is inflated at 100 cm³/s. How fast is its radius increasing when its radius is 5 cm?

A spherical balloon's volume increases at 64π m³/s. How fast is its radius increasing when its radius is 4 m?

A spherical balloon is inflated at 36π cm³/min. How fast is its radius increasing when its radius is 3 cm?

A spherical bubble loses volume at 200π cm³/s. How fast is its radius changing when its radius is 10 cm?

A circular ripple expands with radius increasing at 3 m/s. How fast is its enclosed area increasing when the radius is 10 m?

The area of a circular oil spill increases at 48π m²/min. How fast is its radius increasing when the radius is 8 m?

A circular region has radius increasing at $\frac{1}{2}$ m/s. How fast is its circumference increasing when the radius is 12 m?

A 15-meter lamp shines on a person 6 m tall who walks away from the lamp at 5 m/s. How fast is the length of the person's shadow increasing?

A 12-meter lamp shines on a person 4 m tall walking away at 3 m/s. How fast is the tip of the shadow moving away from the lamp?

An 8-meter lamp shines on a child 2 m tall. The child walks toward the lamp at 1 m/s. How fast is the length of the child's shadow changing?

An 18-meter lamp shines on a person 6 m tall walking away from the lamp at 4 m/s. How fast is the tip of the shadow moving away from the lamp?

One vehicle travels north from an intersection at 20 km/h while another travels east at 15 km/h. How fast is the distance between them increasing 2 hours later?

Two cyclists leave the same intersection, one east at 3 km/h and one north at 4 km/h. How fast is the distance between them increasing 2 hours later?

Two runners leave the same point at the same time. One runs north at 8 km/h and the other runs east at 6 km/h. How fast is the distance between them increasing 1 hour later?