Do 7a and 7b plz 成宝贝7 If Mathew and Darren walk in the opposite directions from the same place etusame time, they will be 960 meters apart after 8 minutes. If they walk in the comdirection, Darren will be ahead of Mathew by 70 meters after 5 minutes. How fast deKIDANO17each of the boys walk? (***)At 8am, the train A leaves the station towards another city at a speed of 150km pernour. At 8:30am, another train B departs towards the same city at a speed of 180km perhour non-stop. At 9am, train A reached a small town where it stopped for 10 minutesand then continued at 150km per hour. At what fime does train B catch train A? (Hint:try to draw the positions of the two trains at 8:30am, at 9am, and at 9:10am.) (***)SidaLion

Answered: Image /qna-images/answer/02181579-cbb1-4a34-9330-27711fc078c1.jpg

Answered: 成宝贝 7 If Mathew and Darren walk in the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 57E: Forensics At 8:30 A.M., a coroner went to the home of a person who had died during the night. In...

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Airplane Speed A man flies a small airplane from Fargo to Bismarck. North Dakota-a distance of 180 mi. Because is flying into a headwind, the trip takes him 2 h. On way back, the wind is still blowing at the same speed, so the return trip takes only 1h 12 min. What is his speed in still air, and how fast is the wind blowing?
The Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?
Navigation A ship is 2.8 off course. If the ship is traveling at 14.0 miles per hour, how far off course will it be after 2 hours?
Distance and time Anthony leaves Kingstown at 2:00 PM and drives to Queenville, 160 mi distant, at 45mi/h .At 2:15 PM. Helen leaves Queensville and drives to Kingstown at 40 mi/h . At what time do they pass each other on the road?
FaIIing-Body Problems Suppose an object ¡s dropped from a height h0 above the ground. Then its height after t second is given by h=16t2+ h0 , where h ¡s measured in feet. Use this information to solve the problem. A ball is dropped from the top of a building 96 ft tall. How long will it take to fall half the distance to ground level? How long will it take to fall to ground level?
Falling with a Parachute If an average-sized man with parachute jumps an airplane, he will fall 12.50.2t 1 20t feet in t seconds. How long will it take him to fall 140 feet?
Radio Waves Radio waves travel at the same speed as light, approximately 3.0108 meters per second. Find the time required for a radio wave to travel from Mission Control in Houston to NASA astronauts on the surface of the moon 3.84108 meters away.
Distance and Time Anthony leaves Kingstown at 2:00 P.M. and drives to Queensville, 160 mi distant, at 45 mi/h. at 2:15 P.M. Helen leaves Queensville and drives to Kingstown at 40 mi/h. At what time do they pass each other on the road?
Forensics At 8:30 A.M., a coroner went to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person’s temperature twice. At 9:00 A.M. the temperature was 85.7F, and at 11:00 A.M. the temperature was 82.8F. From these two temperatures, the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula t=10lnT7098.670 where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person’s body. (This formula comes from a general cooling principle called Newton’s Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6F at death and that the room temperature was a constant 70F.) Use the formula to estimate the time of death of the person.
Falling Ball Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 128 ft high, then its height h above the ground t seconds later will be h=128+16t-16t2 During what time interval will the ball be at least 32 ft above the ground?
Alexanders Formula One interesting problem in the study of dinosaurs is to determine from their tracks how fast they ran. The scientist R. McNeil Alexander developed a formula giving the velocity of any running animal in terms of its stride length and the height of its hip above the ground. The stride length of dinosaur can be measured from successive prints of the same foot, and the hip height roughly the leg length can be estimated on the basis of the size of a footprint, so Alexanders formula gives a way of estimating from dinosaur tracks how fast the dinosaur was running. See Figure 2.45. If the velocity v is measured in meters per second, and the stride length s and hip height h are measured in meters, then Alexanders formula is v=0.78s1.67h1.17. For comparison, a length of 1 meter is 39.37inches, and a velocity of 1 meter per second is about 2.2milesperhour. First, we study animals with varying stride lengths, but all with a hip height of 2meters so h=2 i. Find the formula for the velocity v as a function of the stride length s. ii. Make a graph of v versus s. Include stride lengths from 2to10meters. iii. What happens to the velocity as the stride length increases? Explain your answer in practical terms. iv. Some dinosaur tracks show a stride length of 3meters, and a scientist estimates that the hip height of the dinosaur was 2meters. How fast was the dinosaur running?

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