8. A position-time graph for a particle moving along the x axis is shown in Figure 1. (a) Find the average velocity in the time interval t= 1.50 s to t 5 -4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s (e) At what is the value of at which the velocity is zero? x (m) 12 10 6. t (s) 2 3 45

8. A position-time graph for a particle moving along the x axis is shown in Figure 1. (a) Find the average velocity in the time interval t= 1.50 s to t 5 -4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s (e) At what is the value of at which the velocity is zero? x (m) 12 10 6. t (s) 2 3 45

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Description: 8. A position-time graph for a particle moving along the x axis is shown in Figure 1. (a) Findthe average velocity in the time interval t = 1.50 s to t5 =4.00 s. (b) Determine theinstantaneous velocity at t = 2.00 s (c) At what is the value of at wh

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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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
A race car moves such that, its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where x is measured in meters and t in seconds. (a) Plot a graph of the car's position versus time. (b) Determine the instantaneous velocity of the car at t = 4.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (c) Compare the average velocity during the first 4.0 s with the results of part (b).
The position of a particle moving along the x axis varies in time according to the expression x = 3t2 where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + t. (c) Evaluate the limit of x/t as t approaches zero to find the velocity at t = 3.00 s.
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A graph of position versustime for a certain particlemoving along the x - axis isshown in Figure P2.6. Findthe average velocity in thetime intervals from (a) 0 to 2.00 s, (b) 0 to 4.00 s, (c) 2.00s to 4.00 s, (d) 4.00 s to 7.00 s,and (e) 0 to 8.00 s.
Suppose an object starts at time t=0s at a position defined as x=0m. At t=0.5s, the object is at x=1.5m, and at t=1.0s, the object is at x=2.0m. What is the average velocity for the first interval (approximated at t=0.25s) and for the second interval (approximated at t=0.75s)? What is the average acceleration of the object?
The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s, Determine the following a. average velocity during the time interval t=2.5 s to t=4.5s b. instantaneous velocity at 3s c. average acceleration during the time interval t=2.5 s to t=4.5s d. instantaneous acceleration at 3s e. is the particle speeding up or slowing down at 4s? justify your answer
A position–time graph for a particle moving along the x axis is shown. (a) Find the average velocity in the time interval t = 1.50 s to t 5 4.00 s. (b) Determinethe 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?
According to y(t) = 5.0t 2 − 4.0t3m, the particle’s position as it moves along the y-axis varieswith time. (a) Solve for the velocity and acceleration of the particle as functions of time, (b) thevelocity and acceleration at t = 3.0 s, (c) the time at which the position is a maximum, (d) the timeat which the velocity is zero, and (e) the maximum height.
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