A particle moves along the x-axis such that its coordinates (x) varies with time (t) according to the expression, x=2+5t+ 6t2, where x is in meters and t is in second. The initial velocity vo of the particle att-0 is equal to :
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- The velocity of a particle which moves along the s-axis is given by s = 41 - 3t² m/s where t is in seconds. Calculate the displacement As of the particle during the interval from t = 0.9 s to t = 4.9 s. Answer: As = i eTextbook and Media m2.) A rocket is travelling in another planet where its velocity is defined by v = 4t³ – 6t , where t is in seconds. Find the displacement and acceleration after 5 seconds. tog9ad at 20 A5 deareee WhatA particle moves along a straight line with a velocity in millimeters per second given by v = 410 - 10t? where tis in seconds. Calculate the net displacement As and total distance D traveled during the first 7.4 seconds of motion. Answers: As = i 1.68 D = i
- 1- The "divergence grad 6" can be written as: a: V(V.) b: Vx(V) e: V.(V.) d: V.(V) 2-The acceleration vector in plane polar coordinates is a = (-ro?)e, +(rö + 2ró)eo If a particle moves on a circle path with constant radius b then the radial and transverse components respectively are: a: be and bö b: b and 2bė e: B - bộ and zero d: zero and b- bo? 3- The concept of impulse can be obtained if the force is: a: F(x) b: F(t) e: F(v) d: constant 4- The position vector of a particle can be written in cylindrical coordinates (R, . z) as: a: r=ReR b: r-R eg +o e, + Ze, e: r=R eg +Ze, d: r=ReR + e,A particle moves along a straight Line with a velocity in (mm/s) given by V=400-16t² where it is in seconds. Calculate the net displacement AX and the total distance traveled during the first 6 seconds of motion.bas 2/40 SS A test projectile is fired horizontally into a vis- cous liquid with a velocity vo. The retarding force is propor- tional to the square of the velocity, so that the acceleration becomes a = -ku². Derive expressions for the distance D traveled in the liquid and the corresponding time t required to reduce the velocity to vo/2. Neglect any vertical motion. Vo i dotdw A vbo to b adi ovode im OUT x- PROBLEM 2/40
- The position of a particle is given by s = 0.37t3 - 0.58t2 - 2.45t + 5.26, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 8 seconds of motion. After you have the plots, answer the questions as a check on your work. + 1 --+s, ft -1 2 3 Questions: When t = 1.4 sec, v= ft/sec, ft/sec2 a = When t = 3.4 sec, v= ft/sec, a= ft/sec2 The positive time at which the particle changes direction is i sec.The position of an object moving along an x axis is given by x = 3t - 4t? + t, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t = 2 s tot = 4 s? (g) Graph x versus t for 0The position of a particle moving along the x-axis is described by x= t^3-108t in where t is the time in seconds. For the time interval t=0 to t=10s. (a) plot the position, velocity, and acceleration as functions of time; (b) find the displacement of the particle: and (c) determine the distance traveled by the particle.A particle moves along a straight line with a velocity in millimeters per second given by v= 413 - 16t2 where tis in seconds. Calculate the net displacement As and total distance D traveled during the first 6.1 seconds of motion. Answers: As = i m D = i eTextbook and Media Save for Later Attempts: 0 of 10 used Submit AnswerThe velocity of a particle which moves along the s-axis is given by s = 40 - 8t2 m/s where t is in seconds. Calculate the displacement As of the particle during the interval from t = 0.7 s to t = 3 s. Answer: As = mThe position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t 2 s to t = 4 s? (g) Graph x versus t 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