A yacht is being tracked along a straight path using a radar. At the instant shown, the yacht is d = 281 m north of the radar, and r = 444 m away from the radar, moving eastwards at 5.9 m/s as shown in the diagram below. Calculate how fast the distance between the yacht and the radar is increasing. Express your answer in units of m/s to two significant figures, but do not include the units in your answer. Radar Tracking Station W N E
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- NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two automobiles A and Bare approaching each other in adjacent highway lanes. At t= 0, A and B are 3200 ft apart, their speeds are vA = 67 mi/h and vg = 38 mi/h, and they are at points Pand Q, respectively. A passes point Q 40 s after B was there and B passes point P 42 s after A was there. VA A B 3200 ft Determine the uniform accelerations of A and B. (You must provide an answer before moving on to the next part.) The uniform acceleration of A is - | ft/s2. The uniform acceleration of Bis DConsider a satellite on a trajectory around Earth. The velocity of the satellite is 0.1 ê, + 8.6 êg km/s over a range of time of interest. What is the magnitude of Coriolis acceleration in m/s? at an instant when the altitude is 700 km. Assume radius of Earth to be: 6378 km.Question No. 12 Find the distance covered by a particle during the time interval t = 0 to t = 20 s for which the speed-time graph is shown in the figure. - Speed 15 (s/m) 10 5. | 5 10 15 20 time(s)
- Current Attempt in Progress X Incorrect A particle moving in the x-y plane has a position vector given by r = 3/2t²i + 2/3t³j, where r is in inches and t is in seconds. Calculate the radius of curvature p of the path for the position of the particle when t = 2.0 sec. Sketch the velocity v and the curvature of the path for this particular instant. Answer: p=i 142.9 in.At time t = 0, an aircraft is located at (x, y) = (3km, -1km) in a two-dimensional coordinate system. Its velocity is 7 = (-30m/s, 80m/s). a) Write down an expression for the position of the aircraft at later times, as x(t), y(t), and deter- mine the aircraft's speed. b) Determine r(t), the distance of the aircraft from the origin. How close does the aircraft get to the origin and at what position and time does this happen? c) Make a plot of the path of the aircraft during 1 minute of flight (from t = 0 to t = 1 minute). Mark the origin with a square symbol and use axis equal in Matlab. Note, when making plots, make sure to label your axes and specify units.A particle is on a circular path as shown in the figure. At position shown, the particle has a speed v = 5 m/s, which is increasing at a rate of 7.5 m/s². What is the magnitude of its acceleration for the same position? v = 5 m/s 2.5 m O a = 10 m/s² O a = 5 m/s² O a 12.5 m/s² O a = 7.5 m/s²
- The car moves along a circular track of radius 9m as shown below: P CO It starts with an initial speed vo=2 m/s at s-Om and increases its speed at at=1m. Determine 1. the velocity of the car when it has travelled a distance s=34 m, this answer must be on your hand-written work. 2. the time needed for the car to travel this distance, this answer must be on your hand-written work. 3. the acceleration of the car at this position, this answer must be on your hand-written work (put it also in the cell bellow)Car A is moving with constant speed v on the straight and level highway. The police officer in the stationary car P attempts to measure the speed v with radar. If the radar measures “line-of sight” velocity, what velocity v' will the officer observe? Evaluate your general expression for the values v = 74 mi/hr, L = 605 ft, and D = 19 ft, and draw any appropriate conclusions.A particle moves along a straight line according to the (v-t) graph shown. If the position of the particle when t=12s is -80m, find the initial position of the particle (when t=0s). Plot the (a-t) and (s-t) graphs for the duration 05. A two-stage missile is fired vertically from rest with the acceleration shown. In 15 s the first stage A burns out and the second stage B ignites. Plot the v-t and s-t graphs which describe the two- stage motion of the missile for 0 < t < 20 s. a (m/s²) 25 18 15 20 (s)= A particle moves in the x-y plane with an x-component of velocity in meter per second given by vx = 4√t, with t in seconds. The acceleration of the particle in the y-direction meter per second squared is given by by ay = 4 e(t), with t in seconds. When t=4, y=10, x=4, and vx 10, (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.A particle moves along a straight line according to the (v-t) graph shown. Given that s =-10 m when t=0s and = 0 m when t = t3 s, plot the (a-t) and (s-t) graphs for the time duration 0SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill EducationControl Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEYElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill EducationControl Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY