What is the maximum velocity, in miles per hour, for an automobile rounding a level curve of 200 ft radius if μs between the tires and roadbed is 1.0
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2. What is the maximum velocity, in miles per hour, for an automobile rounding a level curve of 200 ft radius if μs between the tires and roadbed is 1.0.
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- Review. A highway curve forms a section of a circle. A car goes around the curve as shown in the helicopter view of Figure P1.48. Its dashboard compass shows that the car is initially heading due east. After it travels d = 840 m. it is heading = 3.5.0south of east. Kind the radius of curvature of its path. Suggestion: You may find it useful to learn a geometric theorem staled in Appendix B.3.1. What is the radius r of the turn if θ=20° ( assuming the car continues in uniform circular motion around the turn)? Express answer in meters.1. A ball is thrown upward with a speed of 20 m/s with an angle of 30 degrees to the horizontal from the building's edge. If the building's height is 50 m, a) how long does it take the ball to reach the ground? b) Calculate the ball's speed just before it strikes the ground.
- 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.3. A dog initially at rest, starts running inside a circular track with a 40n m circumference. The dog's acceleration tangent to its path is defined by the function at = 0.1t + 0.4t. What is the total distance ran by the dog after t= 10 s?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?
- 1. An object moving at a constant speed requires 6.0 s to go once around a circle with diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time?2. A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What is the acceleration of a passenger at his lowest point during ride?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.
- 1. A ball is thrown upward with a speed of 20 m/s with an angle of 30 degrees to the horizontal from the building's edge. If the building's height is 50 m, a) how long does it take the ball to reach the ground? b) Calculate the ball's speed just before it strikes the ground. 2. A car with an increasing speed rate of 0.600 m/s? is traveling along a circular road. The radius of the circular road is 20 meters. When the car's speed is 4 m/ s, find the acceleration a) normal to the radius, b) along to the radius, and c) the magnitude and direction of the total acceleration. 3. An animal has a coordinates of (1.1 m, 3.4 m) at time t, = 0 and when t2 = 3.0 s, it is located at (5.3 m, -0.5 m). For this time interval, find (a) the components of the average velocity, and (b) the magnitude and direction of the average velocity.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…3. A rocket was launched with a speed v = 150 m/s and an acceleration of 425 m/s² at an angle a = 80°, determine the rocket's rate of increase in speed and its normal acceleration. Also, determine the radius of curvature of its path.