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. (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?

Answered: An object moves along the x axis…

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.

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 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

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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.

(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?

Expert Solution

Step 1

An object moves along the x-axis according to the equation

x = 2.55t² − 2.00t + 3.00 ...(1)

where x is in meters and t is in seconds.

Acceleration of an object is given by :

$a = \frac{d v}{d t} o r a = \frac{d^{2} x}{d t^{2}} x i s p o s i t i o n$

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