#### ShuchitaDas

##### New member

- Joined
- Mar 31, 2020

- Messages
- 1

A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole?

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 13 cm. (Note the answer is a positive number).

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 3 PM?

In a simple electric circuit, Ohm's law states that 𝑉=𝐼𝑅V=IR, where V is the voltage in volts, I is the current in amperes, and R is the resistance in ohms. Assume that, as the battery wears out, the voltage decreases at 0.04 volts per second and, as the resistor heats up, the resistance is increasing at 0.04 ohms per second. When the resistance is 300 ohms and the current is 0.03 amperes, at what rate is the current changing?