An airplane flies from San Francisco to New York (about 4800 km, or 4.80 x 106 m) at a steady speed of 300 m/s (about 670 mi/h). How much time does the trip take, as measured by an observer on the ground? By an observer in the plane?
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An airplane flies from San Francisco to New York (about 4800 km, or 4.80 x 106 m) at a steady speed of 300 m/s (about 670 mi/h). How much time does the trip take, as measured by an observer on the ground? By an observer in the plane?
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- An object's position is given by r(t) = [a + ßt] î+ [y+ot²] 3 where • d = 2.86 m B 3.5 m/s • Ύ 3.15 m • σ = -4.1 m/s² t = 7.2 s = What is its speed v at t = 7.2 s?A tourist at a rim of a canyon yells "hello!" toward the opposite side. She hears the echo "hello" four seconds later. If the speed of sound is 340 m/s, how far away was the canyon wall that produced the echo?You jump off the end of a ski jump. Your height in meters relative to the height of the ski jump after t seconds is given by h(t)=-5t^(2)+12t. How high will you be compared to the end of the ski jump after 6 seconds?
- 11:44 Q < SEARCH & ASK √x MATH SOLVER nc+) = -4.9+²2² +12+ + 45 ↑ ↑ int acceleration velocity AA Speed of rock before hits the ground √²=√12²+ 269.81-45) Fi Transcribed Image Text: h(+) = -4.9+²2² +12€ +45 ↑ ↑ int acceleration velocity tait Speed of rock before hits the ground ✓=√√√12²+2 (98) -45) F 2 Calif bartleby.com ĆAt noon, Fred is driving south on Highway 1, 50 miles north of its intersection with Highway 2. He is traveling at 40 miles per hour. At noon, Jill is driving west on Highway 2 through its intersection with Highway 1. She is traveling at 30 miles per hour. (a) When will Fred reach the intersection with Highway 2? (b) How far apart will the two cars be at that time? (c) When will the two cars be closest to each other, “as the crow flies”? (d) How far apart will they be at that time?x+2 If y = what is the value of y when x = 5i? 6-7 61 13 61; 40 61 13 + 0i 40 61 40 61 13 61
- (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 ItWhat is the velocity function, v(t), of a train accelerating at a rate of 50m/s^2 and traveling at a rate of 100m/s after t=36s?The distance traveled (approximate) in the first fifty seconds. v (m/s) 40 30 20 10 0 0 10 20 30 40 50 g C 60 70 t (s) 80 90 100 110 120
- A rodeo horse is running around a corral at a speed of 300 ft/s. Let x(t) be the distance of the horse from the third barrel and y(t) his distance from the fourth. (see figure; note that the distance between barrels is 900 řt). At what rate is the horse's distance from the fourth barrel changing at the instant when he is 200 ft from the third? 2 1 3 4Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t = 0 the bird passes directly above a radar station, where t is measured in hours. (a) How fast is the distance between the bird and the radar station changing after 10 minutes? Round your final answer to 2 decimal places and provide units. (b) How fast is the distance between the bird and the radar station changing at time t = 0, i.e. when the bird is directly above the radar station? Is this reasonable? Explain briefly.cody is driving down the road, eastbound, with his dog in the back seat of the car. To an outside observer on the roadside, Cody’s speed is 21.0 meters per second. A blue car is passing them at a relative velocity of 2.5 meters per second. Which of the following statements are accurate about this situation? (Choose all that apply) The blue car’s velocity, to a roadside observer, is 23.5 m/s. The blue car’s velocity, to a roadside observer, is 18.5 m/s. The dog’s velocity, relative to Cody, is 0 m/s. Cody’s velocity, from the blue car’s frame of reference, is −2.5 m/s. Cody is stationary from the blue car’s frame of reference.