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- With those around you discuss and draw, a dot on the circle indicating a particle's position and speed along with the position vs time graph of the simple harmonic motion for one complete cycle. Use either a different color or a different style of line A. = 0 rad B. = rad C. = π rad D. = -rad Patio() Time() x(d) The velocity versus position graph of a motorcycle is given in Figure 1.3 below. Determine its acceleration at s=150 ft (4 Marks) v (ft/s) 50 10 200 400 2 -s (ft)Aerospace engineers sometimes compute the trajectories of projectiles like rockets. Arelated problem deals with the trajectory of a thrown ball. The trajectory of a ball is definedby the (x, y) coordinates, as displayed in Figure 3. The trajectory can be modeled as y = (tan θ0)x −g2v02cos2 θ0x2 + y0 Find the appropriate initial angle θ0, if the initial velocity v0 = 20 m/s and the distance to thecatcher x is 35 m. Note that the ball leaves the thrower’s hand at an elevation of y0 = 2 mand the catcher receives it at 1 m. Express the final result in degrees. Use a value of 9.81m/s2for g and employ the graphical method to develop your initial guesses. and write code for Newton Raphson method.
- The cart shown has the following velocity as a function of time. a. What is the acceleration at 50 s, 150 s? b. If the cart started at positions = 0, sketch the displacement over time. Label the greatest displacement and state what value it is and at which time it occurs. v (m/s) 100 200 1 (s)A two-stage rocket is launched vertically upward as shown in the graph below, Os ts30s, it started from rest at s = 0 m. Construct v-t and s-t graph and determine the value of its velocity at t =60 s and the total distance it covers for this time interval. (m/s') 24 1 (s) 30 60 ANS: V = m/s, ST = m (whole number)As shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can move along x-axis. The graph has these values U_A=9 J, U_C=20J and U_D=24 J. The particle is released at position x=5 m with kinetic energy 4 J where the potential energy is U_B=12J. What is the maximum speed of the particle, and in which interval does it occur. Upf- Uch UA 4 6 7 8. 9 x (m) A v max= 4 m/s interval (6, 7) B v max=2 m/s interval (0,1) (c) none of them D V max=2.45 m/s interval (3,4)
- Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 2 meters above the deck of the boat (see figure). The winch pulls in rope at a rate of 1.7 meters per second. Find the acceleration (in m/sec?) of the boat when there is a total of 5.2 meters of rope out. (Round your answer to three decimal places.) m/sec2 Not drawn to scale Submit AnswerGiven that the acceleration of an object in 1-D motion is described in the graph below: Acelenato t Ostess a 10-t 5etele accelerahen 4 Aa (a) in a=t a = 10-t m/s2 tss (a)Find: the velocity v(t) for 0a (m/s²) A particle moves along a straight line accord- ing to the (a-t) graph shown. If the velocity and displacement of the particle when t = 0 are respectively v =-14 m/s and so = 0 m. 3 For the time duration 0bläi 5 If s is the position at time t of an object moving on a straight line, find the :velocity v and the acceleration a s = (3t – 2)². v=18t-6, a=6 O v=16t-6, a=16 O v=18t-12, a=18 O non of the abovea) A motorcycle is moving on a straight line where the motion is represented by the v-t graph shown in Figure la. Draw the s-t graph and determine the distance travelled and the average speed for the 30-s time interval. The motorcycle starts from rest at s = 0. v (m/s) 100 v = 2t + 40 60 v = 60 (10-3)t3 -t (s) 10 30 Figure la b) velocity of a particle {2t² i + 3t j+ 5k} m/s, where t r = 0 V = en t = 0, determine the displacement of the particle during the time interval t 2 s to t= 4 s.Q1. (b) A motorcyclist starting from rest travels along a straight ro?d and for 1C s has an acceleration as shown in Figure Q1. Draw the v-t graph that describes the motion and find the distance traveled in 10 s. a (m/s²) 6 (s) 10 Figure Q1SEE 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