An object moves along the x axis according to the equation x = 3.85t? 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.10 s and t = 4.10 s. 13 The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t = 2.10 s. m/s Determine the instantaneous speed at t = 4.10 s. m/s (c) Determine the average acceleration between t = 2.10 s and t = 4.10 s. m/s² (d) Determine the instantaneous acceleration at t = 2.10 s. m/s² Determine the instantaneous acceleration at t = 4.10 s. m/s? (e) At what time is the object at rest? S

An object moves along the x axis according to the equation x = 3.85t? 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.10 s and t = 4.10 s. 13 The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t = 2.10 s. m/s Determine the instantaneous speed at t = 4.10 s. m/s (c) Determine the average acceleration between t = 2.10 s and t = 4.10 s. m/s² (d) Determine the instantaneous acceleration at t = 2.10 s. m/s² Determine the instantaneous acceleration at t = 4.10 s. m/s? (e) At what time is the object at rest? S

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

An object moves along the x axis according to the equation x =
3.85t?
2.00t + 3.00, where x is in meters and t is in seconds.
(a) Determine the average speed between t = 2.10 s and t = 4.10 s.
13
The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s
(b) Determine the instantaneous speed at t = 2.10 s.
m/s
Determine the instantaneous speed at t = 4.10 s.
m/s
(c) Determine the average acceleration between t = 2.10 s and t = 4.10 s.
m/s²
(d) Determine the instantaneous acceleration at t = 2.10 s.
m/s²
Determine the instantaneous acceleration at t = 4.10 s.
m/s?
(e) At what time is the object at rest?
S

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Step 1: Determine the given data:

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Step 2: a) Find the average speed between t=2.10 sec to t=4.10 sec:

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Step 3: b) Determine the instantaneous velocity at t=2.10 sec:

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Step 4: Determine the instantaneous velocity at t=4.10 sec:

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Step 5: c) Find the average acceleration between t=2.10 sec to t=4.10 sec:

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Step 6: d) Determine the instantaneous acceleration at t=2.10 sec:

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Step 7: e) Find the time when the object is at rest:

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