An object moves along the x axis according to the equation x = 2.55t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.50 s and t = 3.90 s.m/s(b) Determine the instantaneous speed at t = 2.50s.m/sDetermine the instantaneous speed at t = 3.90 s.m/s(c) Determine the average acceleration between t = 2.50 s and t = 3.90 s.|m/s²(d) Determine the instantaneous acceleration at t = 2.50 s.|m/s²Determine the instantaneous acceleration at t = 3.90 s.m/s2(e) At what time is the object at rest?

Name: An object moves along the x axis according to the equation x = 2.55t2
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Description: An object moves along the x axis according to the equation x = 2.55t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.50 s and t = 3.90 s.m/s(b) Determine the instantaneous speed at t = 2.50s.m/

The equation of an object moving along the x-axis iswhere,x is in meters.t is in seconds.

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object moves along the x axis according to the equation x = 2.55t2 − 2.00t + 3.00, where x is in meters and t is in seconds.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Topic Video

Question

An object moves along the x axis according to the equation

x = 2.55t² − 2.00t + 3.00,

where x is in meters and t is in seconds.

(a) Determine the average speed between t = 2.50 s and t = 3.90 s.
m/s
(b) Determine the instantaneous speed at t = 2.50s.
m/s
Determine the instantaneous speed at t = 3.90 s.
m/s
(c) Determine the average acceleration between t = 2.50 s and t = 3.90 s.
|m/s²
(d) Determine the instantaneous acceleration at t = 2.50 s.
|m/s²
Determine the instantaneous acceleration at t = 3.90 s.
m/s2
(e) At what time is the object at rest?

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Step 1: Introduce to the given equation

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Step 2: Introduce to the formula used

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Step 3: (a) Determine the average speed between t=2.50 s and t=3.90 s

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Step 4: (b) Determine the Instantaneous speed at t=2.50 s and t=3.90 s

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Step 5: (c) Determine the average acceleration between t=2.50 s and t=3.90 s

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Step 6: (d) Determine the Instantaneous acceleration at t=2.50 s and t=3.90 s

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

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