The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity of the particle is 400 mm/s. Knowing that v = 370 mm/s and x = 500 mm when t = 1 s, determine the velocity, the position and the total distance traveled when t = 7 s. Provide illustration and use kinetmatics of particles.
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The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity of the particle is 400 mm/s. Knowing that v = 370 mm/s and x = 500 mm when t = 1 s, determine the velocity, the position and the total distance traveled when t = 7 s. Provide illustration and use kinetmatics of particles.
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- 1. (Ex. 5.3 of Module 5 Part 1) The position of a particle moving along the x-axis is described by x = t³ – 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.Q No 1: The position of a particle moving along the x-axis is given by x=A+B t3, where A=9.75 cm and B=1.50cm/s3.consider the time interval t=2 to t=3s and calculate (a).the average velocity; (b).the instantaneous velocity at t=2s;(c). the instantaneous velocity at t=3s;(d). the instantaneous velocity at t=2.5s;(e). the instantaneous velocity when the particle is midway between its positions at t=2s and t=3s.[5] A particle is moving along a circular path of radius 2 m. It is initially moving at 7 m/s, and its speed is increasing at a constant rate of 6 m/s?. What is the magnitude of its acceleration as a function of time? (Exact answer in terms of integer and rational numbers.) a(t) = m/s?.
- A telemetry system is used to quantify kinematic values of a ski jumper immediately before she leaves the ramp, as shown. The system gathers the following information: 0= 25° 0= 0.07 rad/s 0= 0.06 rad/s? r= 500 ft i=-105 ft/s i =-10 fl/s? Determine (a) the velocity of the skier immediately before she leaves the jump, (b) the acceleration of the skier at this instant, (c) the distance of the jump d neglecting lift and air resistance. Note: In projectile motion, if 0 is below the horizontal, the initial y-component of the velocity is directed downward. 30° 10 ft1. 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.1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement at 12th sec. If the acceleration of the particle is 6 cm/sec2, calculate the initial velocity.
- The acceleration of a particle traveling along a straight path is shown in the graph below. The particle's velocity at t=0 is 0.0 m/s. Sketch the velocity versus time and position versus time graphs. How far will the particle move during the 60-second time period shown? the picture is of the acceleration versus time graphExercise 2.2 b. A particle moves along a straight line with the (v-t) graph as shown. Displacement, s = 0 m, when 1 = 0 s. Determine i. the maximum displacement and distance covered for the 10 s period. ii. plot the displacement - time (s-t) graph for the 10 s period. 6 4 2 0 2 -4 v (m/s) 2 4 6 8 10 1 (s)Q.1 An object moves along the x-axis according to the equation x (1) =~ 3t +12t 6. where tis in seconds. For the time interval t=0 to t=3 s, (1) find the acceleration: (2) calculate the distance traveled: and (3) determine the displacement of the particle.
- A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is v(t), and its acceleration is a(t). You are given: x(0) = 2 and v(0) = 9 Which of the following expressions gives the distance traveled by the particle over the interval 0Applying principles of dynamics (written detailed solution please tysm!) The displacement of a particle which moves along the x axis is given by x = (-4 + 3t2)e-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration, the time at which acceleration is 0. (If you find it more comfortable to practice, you may choose to graph using excel or any graphing software, solutions however must be done manually).Q24. The acceleration of a particle undergoing rectilinear, erratic motion has acceleration-time (a-t) function shown in the image below. The equation for 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