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

Name: Problem 21, Chapter 2: Physics for Scientists and Engineers
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 $2.00 \mathrm{s}$ 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 $2.00 \mathrm{s}$ later is $-5.00 \mathrm{cm},$ what is its acceleration?

Physics for Scientists and Engineers

Raymond A. Serway,… 6th Edition

Chapter 2, Problem 21

Instant Answer

Solved by Expert Efren Serra

06/08/2020

Step 1

- Initial velocity ($v_0$) = $12.0 \mathrm{cm} / \mathrm{s}$ in the positive $x$ direction - Initial position ($x_0$) = $3.00 \mathrm{cm}$ - Time ($t$) = $2.00 \mathrm{s}$ - Final position ($x$) = $-5.00 \mathrm{cm}$ 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 $2.00 \mathrm{s}$ later is $-5.00 \mathrm{cm},$ what is its acceleration?

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Key Concepts

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.

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.

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