An object moving with uniform acceleration has a velocity of 12.0 cm / s in the positive x direc

Name: Problem 23, Chapter 2: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-06-08T00:24:51-08:00
Duration: 1 min 42 s
Channel: Efren Serra
Description: An object moving with uniform acceleration has a velocity of 12.0 cm / s in the positive x direction when its x coordinate is 3.00 cm . If its x coordinate 2.00 s later is -5.00 cm, what is its acceleration?

step 1 For this problem, the equation to use is the position of the object as a function of time given

Question

An object moving with uniform acceleration has a velocity of 12.0 $\mathrm{cm} / \mathrm{s}$ in the positive $x$ direction when its $x$ coordinate is $3.00 \mathrm{cm} .$ If its $x$ coordinate 2.00 s later is $-5.00 \mathrm{cm},$ what is its acceleration?

   An object moving with uniform acceleration has a velocity of 12.0 $\mathrm{cm} / \mathrm{s}$ in the positive $x$ direction when its $x$ coordinate is $3.00 \mathrm{cm} .$ If its $x$ coordinate 2.00 s later is $-5.00 \mathrm{cm},$ what is its acceleration?

Physics for Scientists and Engineers with Modern Physics

Raymond A. Serway,… 8th Edition

Chapter 2, Problem 23

Instant Answer

Solved by Expert Efren Serra

06/08/2020

Step 1

Step 1: We start by using the equation for the position of an object moving with constant acceleration, which is given by: \[ \Delta x = v_{i}t + \frac{1}{2}at^{2} \] where: - $\Delta x$ is the change in position, - $v_{i}$ is the initial velocity, - $t$ is the Show more…

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An object moving with uniform acceleration has a velocity of 12.0 $\mathrm{cm} / \mathrm{s}$ in the positive $x$ direction when its $x$ coordinate is $3.00 \mathrm{cm} .$ If its $x$ coordinate 2.00 s later is $-5.00 \mathrm{cm},$ what is its acceleration?

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Key Concepts

Uniform Acceleration

Uniform acceleration means that an object's acceleration remains constant throughout its motion. This assumption simplifies the analysis of motion, as it allows the use of specific kinematic equations that relate displacement, initial velocity, time, and acceleration.

Kinematic Equations

Kinematic equations are a set of formulas that describe the motion of objects under constant acceleration. They provide relationships between displacement, initial velocity, acceleration, time, and final velocity, making them crucial tools for solving problems involving uniformly accelerated motion.

Initial Conditions

Initial conditions, such as an object's starting position and velocity, are essential for solving kinematics problems. These values serve as the baseline inputs in kinematic equations, enabling the calculation of other motion parameters like displacement and acceleration over a given time interval.

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