A position-time graph for a particle moving along the x axis is shown in the figure below.х (m)121084t (s)12 3 4 5 6(a) Find the average velocity in the time interval t = 2.00 s to t = 3.00 s. (Indicate the direction with the sign of your answer.)-6Your response differs from the correct answer by more than 10%. Double check your calculations. m/s(b) Determine the instantaneous velocity at t = 2 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. (Indicate thedirection with the sign of your answer.)-3.71m/s(c) At what value of t is the velocity zero?The correct answer is not zero. s

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Answered: A position-time graph for a particle…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 5P: A positiontime graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the...

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As an object moves along the x axis, many measurements are made of its position, enough to generate a smooth, accurate graph of x versus t. Which of the following quantities for the object cannot be obtained from this graph alone? (a) the velocity at any instant (b) the acceleration at any instant (c) the displacement during some time interval (d) the average velocity during some time interval (e) the speed at any instant
A particle moves along the x axis. Its position is given by the equation x = 2 + 3t 4t2, with x in meters and t in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t = 0.
A positiontime graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (c) At what value of t is the velocity zero? Figure P2.5
The position of a particle moving along the x-axis is given by x = 12.5 + 23.9t - 4.04t3. Assume SI units are being used. What is the average velocity during the time interval from 0.7s to1.76s? What is the instantaneous velocity at 1.23s?
An object's position as a function of time in one dimension is given by the expression; 2.74t2 + 3.01t + 13.9 where are constants have proper SI Units. What is the object's average velocity between the times t = 4.06 s and t = 8.22 s?
A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.
PLEASE ANSWER IN 10 MINUTES ! ! ! A particle's position along the x-axis is given by the equation; ?(?)=1?3−3?1+4x(t)=1t3−3t1+4 where ?x is in meters and ?t is in seconds. Find the instantaneous velocity of the particle at ?=2?t=2s. Please express your answer with zero decimal places in units of m/s.
An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? with everything in 3 sig figs
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A position-time graph for a particle moving along the x axis is shown in the figure below. x (m) 12A 10 6 4 2 t (s) 1 2 3 4 5 6 (a) Find the average velocity in the time interval t = 2.00 s to t = 3.00 s. (Indicate the direction with the sign of your answer.) -6