WebAssign Lesson 8-1 Basic Part 2 (Homework)
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1 WebAssign Lesson 8-1 Basic Part 2 (Homework) Current Score : / 24 Due : Thursday, March :01 AM MDT Shari Dorsey Sp 14 Math 170, section 003, Spring 2014 Instructor: Shari Dorsey 1. /4 points A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 2.0 m/s. Part 1. Write one sentence that clearly describes what x measures. Click here for tips on how to do this. If possible, get feedback on your writing before you move on to Part 2. Part 2. Which of the following sentences are accurate descriptions of what x measures? x is the distance from the light to the man. x is the distance from the the man's feet to a spot on the ground directly below the light. x is the position of the man. Part 3. Write one sentence that clearly describes what y measures. Get feedback. Part 4. Which of the following sentences are accurate descriptions of what y measures? y is the length of the man's shadow. y is the distance from the man's feet to the tip of his shadow. y is the position of the shadow.
2 2. /4 points A police car traveling south toward Sioux Falls at 160 km/h pursues a truck traveling east away from Sioux Falls, Iowa, at 140 km/h Part 1. Write one sentence that clearly describes what x measures. Click here for tips on how to do this. If possible, get feedback on your writing before you move on to Part 2. Part 2. Which of the following sentences are accurate descriptions of what x measures? x is the distance from the truck to the intersection. x is 140 km/hr. x is the distance to the truck Part 3. Write one sentence that clearly describes what y measures. Get feedback. Part 4. Which of the following sentences are accurate descriptions of what y measures? y is the police car. y is the distance from the intersection to the police car. y is the position of the police car.
3 3. /4 points Water is poured into a conical tank at a constant rate. The tank is 12 feet deep and has a radius of 4 feet at the top as shown. The shaded region is the water. Its volume is 1 V = πr 2 h 3 For each variable in the equation above, write a one sentence description of what it measures. Get feedback. Then answer the questions below. Warning. These are two point questions. You get 4 tries, but you lose 1/2 point for each Which of the following are accurate descriptions of V? Volume. Volume of air in the tank. Volume of water in the tank. Volume of the tank. Which of the following are accurate descriptions of h? Depth of the tank. Height. Depth of the water. Vertical distance from the tip of the cone to the surface of the water. Feet of water. 4. /6 points A hemispherical water tank is being filled with water at a constant rate.
4 The volume of the filled portion, as shown in the cross sectional diagram, is V = πh 2 R h 1 3 For each variable in the equation above, including R, write a one sentence description of what it measures. Get feedback. Then answer the questions below. As usual, you lose 1/2 point for each Which of the following are accurate descriptions of V? Volume. Volume of the tank. Volume of water in the tank. Volume of air in the tank. Which of the following are accurate descriptions of h? Vertical distance from the tank bottom to the water surface. Height. Depth of the water. Depth of the tank. Which of the following are accurate descriptions of R? Radius of the tank. Feet across. Radius of the water. Radius.
5 5. /6 points An airplane is flying level at an altitude of 3000 feet and a speed of 135 mph. It is about to pass over a radar station on the ground, as shown below. The dashed line represents the line-of-sight from an operator in the radar station to the airplane. Write down sentences that describe x and θ. Then answer the usual questions. Be careful;; these are harder. Which of the following are accurate descriptions of x? Distance from the station to a point directly below the airplane. Position of the airplane feet. Distance from the station to the airplane. Which of the following are accurate descriptions of Miles per hour dx dt? Speed of the airplane. Speed of x Negative speed of the airplane. Rate of change of x Which of the following are accurate descriptions of θ? The angle between the ground and a line connecting the station and the airplane. The angle of elevation from the observer to the airplane. The angle between the ground and the line-of-sight from the operator to the airplane.
6 The angle of the airplane.
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