23. A plane is circling the airport with a speed of 143ms. The radius of the plane’s path is 1945m. What is the acceleration of the plane? ac= ms2 *Round your answer to the nearest thousandth if necessary.
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ac=
*Round your answer to the nearest thousandth if necessary.
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- 16. A plane is circling the airport with a speed of 145ms. The radius of the plane’s path is 1870m. How long does it take for the plane to complete 1 circle around the airport?t= s*Round your answer to the nearest thousandth if necessary.Q1. Under what conditions can we have VA = -HoJ? Prove the identity.7.A Jogger runs along a circular track of radius R = 100.0 m. She starts at A and jogs three-fourths of the circular track, un to B She then turns back and jogs one-half of the circular track, up to C. (Note that the dashed line is only a guide for the eye - showing that B, the center of the circle, and C are collinear). A. What is the distance she traveled? B. Draw her displacement vector. C. What is the magnitude of her displacement? C R. A 3. B 66
- The Ferris wheel revolves once every two minutes. It has a radius of 60 ft and its center is located 64 ft from the ground. How fast is a passenger rising at the instant when she is 94 ft above the ground? a. 2.72 ft/s c. 0.433 ft/s b. 1.57 ft/s d. 3.79 ft/sA car's velocity is at 100 km/h going North [N] for 1.0 hour. The car continues to move for another 2.0 hours at 82 km/h South [S). Determine the car's: A trekker walks 5.0 km North [N] and then 8.0 km South [S] for 3.0 hours. Let's Appraise 1. Determine the trekker's: Average velocity а. b. Average speed 2. Total displacement a. b. Moving average velocity C. Total distance covered d. Moving average speed Plot a graph using the values given in the table of distance and time 3. Determine the moving average velocity during the first 5.0 seconds. а. t(s) d(m) 0.5 0.5 Determine the moving average velocity during the time interval of 2.0 to 13.0 seconds. b. 1.0 1.2 1.5 2.0 2.0 3.0 Determine the time if the 2.5 4.1 С. velocity is zero, 3.0 5.3 3.5 6.9 d. Determine the velocity for each given time: 4.0 8.7 4.5 10.7 i. 3.0 s 5.0 13.0 5.5 15.0 ii. 6.5 s 6.0 16.1 iii. 11.0 s 6.5 16.9 7.0 17.3 7.5 17.8 8.0 17.9 8.5 18.0 9.0 18.0 17.8 17.6 9.5 10.0 10.5 17.2 11.0 16.8 11.5 16.3 15.7 14.9 12.0 12.5…2. A girl jogs around a horizontal circle with a constant speed. She travels one half of a revolution, a distance of 20.0 m along the circumference of the circle, in 8.00 s. a. What is the radius of the circle in meters? b. What is the period? c. What is her speed? d. What is her radial acceleration is?
- In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible?a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river?b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?1. A pilot in a small plane encounters shifting winds. He flies 26.0 kmkm northeast, then 45.0 kmkm due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be 70.0 kmkm directly north of his starting point. What was the length of the third leg of his trip? What was the direction of the third leg of his trip? 2. A boat can travel 7.3 m/s in still water. It is crossing a 220 m wide river while pointed due east and the river is flowing at 3.7 m/s, north. What is the speed of the boat, relative to the shore? How long does it take to cross the river? How far downstream does the boat end up? 3. A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 14 m/sm/s . A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 15 m/sm/s relative to the…Q1. Under what conditions can we have V2Ã= -HoJ? Prove the identity.
- An astronaut lands on a newly discovered planet (that has a nice gravitational constant). He proceeds to jump out of the spacecraft and onto the planet's surface. His height above the ground (in feet) after t seconds is given by the function h (t) =-3t2 +12t +36. A. How high off the ground is the astronaut after 1 second? B. What is the astronaut's velocity after 1 second? Is he traveling up or down? C. How fast is the astronaut traveling when he lands on the planet? D. When will the astronaut be at his highest point in the jump? E. Is the astronaut speeding up or slowing down after 2 seconds? At what rate?A runner runs around a circular track. He completes one lap at a time if t=497s at a constant speed of v=3.9m/s. What is the radius r in meters of the track?what was the runners centripetal acceleration ac in m/s^2 during the run?Seatwork Time! 1. On His way to the city, Cardo Dalisay travelled a path of 100 m North, 150 m E, 25m S, 75 m E, 175 m N, 200 m E and 75 m N. What ishthe total distance? How about the total Displacement? 2. What will be the total distance and displacement of Misha Marie in meters if she travelled 5km to the right and 2km to the left?