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SSM The position of an object moving along an x axis is given by x = 3t− 412 + t3, 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 0 ≤t≤ 4 s and indicate how the answer for (f) can be found on the graph.
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FUND.OF PHYSICS (LL)
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- Chapter 2- questn-17 The coordinate of an object is given as a function of time by x(t) = 4t2 – 3t³, where x is in meters and t is in second. What is the average acceleration of the object over the time interval from t=0 to t=2 s ? Option 1 Option 2 Option 3 Option 4 Option 5 -10 10 -4 4 -18arrow_forwardA person who walks for exercise produces the position-time graph shown. Calculate the average velocity, including sign, for (a) segment A, (b) segment B, (c) segment C, and (d) segment D. +1.25 (a) Number i (b) Number i (c) Number i (d) Number i Position x (km) +1.00 +0.75 +0.50 +0.25 Units Units Units Units A B > C 0.20 0.40 0.60 0.80 1.00 Time (h) < Darrow_forwardAn objects position in the x-direction as a function of time is given by the expression: x(t)=5t^2 + 2t where are quantities have proper SI units. What's the objects average velocity in the x-direction between the times t=1.15s and t=2.07s. (Just enter the number rounded to 3 significant figures and assume it has proper SI units)arrow_forward
- An equation describing displacement (in meters) as a function of time (in seconds) of a rocket propelled motorcycle moving up a hill is given by: x(t) = 13.5t – 0.5t³ + 7 Where 0arrow_forwardProblem 2: The position of a particle is given by the following expression, where t is time measured in seconds: r(t) = [(3.65 m/s?)f²]į+ (-4.23 m)j + [(4.48 m/s³)r*]k. Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s? Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s? Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t = 1.65 s? Part (d) What is the magnitude of the average velocity, in m/s, betweent = 0.00 s and t = 1.65 s? Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s make with the z axis?arrow_forwardThe runway of an airport in Oman has been designed such that the lowest acceleration for a plane to take off is 10.3 m/s ^ 2 . The take -off speed for this plane will be 64.2 m/s . Assuming this minimum acceleration , then the minimum allowed length (m) for the runway is :arrow_forwardChapter 02, Problem 104 A proton moves along the x axis according to the equation x = 13 t + 11 2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton att = 3.0 s. (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER section 8.2.pdf Show all search 2:39 PM ENG (合ツ 3/21/2021 16 A 19home f11Pgup pause f10 end 12 Pgdn prt sc insert del break 1% & 4. 5 7. 8. back 6 6arrow_forwardThe position of an object moving along an x axis is given by x= 3.27t-4.04t² +1.06 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) 3s, and (d) 4 s. (e) What is the object's displacement between t=0 and t=4s? (f) What is its average velocity from t=2stot=4s? (a) Number i (b) Number (c) Number (d) Number (e) Number (f) Number Units Units Units Units Units Units O O O Oarrow_forwardThe acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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