Chapter 2, Problem 8P

A cylindrical container is being filled with water at a rate of 10π cubic meters per minute. The radius of the base is 20 meters while the height of the container is 20 meters. How fast does the water rise in the container?A lifeguard needs to get to the opposite end of a circular pool with a radius of r. He swims with a speed v and runs at speed 2v. What is the minimum travel time for the lifeguard in terms of r and v?

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.2 seconds before you do through the air. The speed of sound in steel is vs = 6100 m/s, and the air temperature is 21° C. What is the distance, D, of the train in meters?

m m 2 Traveling with an initial speed of 128 kr, a Cessna 172 accelerates at 6000kr during level flight. How long will it take to reach a speed of 226kr ? Give your answer in seconds (s).

The instantaneous speed of a particle moving along one straight line isv(t) = ate−5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.)

(a) A soccer player kicks a rock horizontally off a 39 m high cliff into a pool of water. If the player hears the sound of the splash 3.02 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 3.02 s after kicking the rock? m/s

A Global Positioning System (GPS) receiver is a device that lets you figure out where you are by receiving timed radio signals from satellites. It works by measuring the travel time for the signals, which is related to the distance between you and the satellite. By finding the ranges to several different satellites in this way, it can pin down your location in three dimensions to within a few meters. How accurate does the measurement of the time delay have to be in units of nanoseconds to determine your position to 30 m accuracy? 1s 10^9 ns Your Answer: Answer

(a) A soccer player kicks a rock horizontally off a 35 m high cliff into a pool of water. If the player hears the sound of the splash 2.84 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.84 s after kicking the rock? m/s Need Help? Read It Watch It

Given the equation: a = kr"vm where a is the acceleration of a particle moving with speed v in a circle of radius r, and k is a constant. By using dimensional analysis prove this equation to determine values of n and m, then write the simplest form of an equation for the acceleration.

Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth’s crust, P-waves travel at about 6.5 km>s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 s, how far from the seismic station did the earthquake occur?