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- 1. The position of a particle moving along the x-axis is described by x = t – 108t in where t is the time in sec. For the time interval t= 0 to t = 10 s, (a) plot the position, velocity, and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.Help me pleasea) 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.
- v (m/s) 4. From experimental data, the motion of the jet plane while travelling along a runway is defined by v-t graph as shown in Figure 4.3. Calculate the velocity V1 if the total distance travelled is 2800 m. 10 s 40 s Figure 4.3A particle starts from rest at x = -2.5 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 3.2 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. 3.8 3.2 0.8 1.6 2.4 1.2 Questions Att-0.53 183 m, 2.52 /s, 4,75 m/s? S. At t-0.99 0.258 m/s, m/s X- m. V= 3.8 5. At t=2.83 m. v= m/s, a- m/s2 S. The particle will cross the origin when t Assistance UsedThe diagram below represents a swimmer. The swimmer is capable to swim in a still water with a velocity Vị = 1 m's. He aims his body directly across a 100 m wide river whose current has a velocity V;=2 m/s. Use this diagram to answer questions 1 through 3. 1. The time it will take for the swimmer to cross the river is .. (A) 10 sec (B) 20 sec (C) 50 sec (D) 100 sec 2. How far downstream will he land? The correct answer is (A) 100 m (B) 200 m (C) 150 m (D) 180 m
- The graph represents the straight line motion of a car. How far does the car travel between t = 2 seconds and t = 5 seconds? v(mk) 12 4 m 12 m 24 m 36 m 60 mA particle moves along the x axis from x; to xf. Of the following values of the initial and final coordinates, which results in a negative displacement? x = -4m, xf = 2m x₂ = -4m, f =-2 m ○ x₁ = 4m, f = 6 m x₂ = 8 m, f = 4 m x = -4m, f none of these = 4 ma (m/s²) A particle moves along a straight path ac- cording to the (a-t) graph shown. If vo = 0 m/s and so = -32 m, plot the (v-t) graph for the time duration 0A particle moves along the x-axis with the velocity history shown. If the particle is at the position x = -2 in, at time t = 0, plot the corresponding displacement history for the time interval Osts 8 sec. After you have the plot, answer the questions as a check on work. u, in./sec 3 o Questions: When t= 1.4s, x= Whent = 4.8 s, x= When t = 7.0 s. x= i i i For the time interval Ost≤8 sec. The net dispalcement Ax= The total distance traveled total 6 -6 i i 8 t, sec in. in. in. in. in.Given 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 0v (m/s) 4. From experimental data, the motion of the jet plane while travelling along a runway is defined by v-t graph as shown in Figure 4.3. Calculate the velocity Vị if the total (s) distance travelled is 2800 m. 10s 40 s Figure 4.3SEE 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