An electron, starting from rest and moving with a constant...

An electron, starting from rest and moving with a constant acceleration, travels $1.0 \mathrm{~cm}$ in $2.0 \mathrm{~ms}$. What is the magnitude of this acceleration? a) $25 \mathrm{~km} / \mathrm{s}^{2}$ b) $20 \mathrm{~km} / \mathrm{s}^{2}$ c) $15 \mathrm{~km} / \mathrm{s}^{2}$ d) $10 \mathrm{~km} / \mathrm{s}^{2}$ e) $5.0 \mathrm{~km} / \mathrm{s}^{2}$

An electron, starting from rest and moving with a constant acceleration, travels $1.0 \mathrm{~cm}$ in $2.0 \mathrm{~ms}$. What is the magnitude of this acceleration?
a) $25 \mathrm{~km} / \mathrm{s}^{2}$
b) $20 \mathrm{~km} / \mathrm{s}^{2}$
c) $15 \mathrm{~km} / \mathrm{s}^{2}$
d) $10 \mathrm{~km} / \mathrm{s}^{2}$
e) $5.0 \mathrm{~km} / \mathrm{s}^{2}$

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Key Concepts

Initial Conditions in Kinematics

Initial conditions such as starting from rest (initial velocity of zero) are crucial in kinematics because they simplify equations and reduce the number of unknown variables when analyzing the motion. These conditions help define the parameters of a motion problem.

Constant Acceleration

This concept involves motion where the acceleration remains unchanged over time. It is a common assumption that simplifies the analysis of motion by allowing the use of kinematic equations to predict an object’s displacement, velocity, and time relationships.

Displacement Equation

The displacement equation in constant acceleration, typically written as x = x? + v?t + (1/2)at², is fundamental for solving problems where an object’s initial velocity, acceleration, and the time interval are known. It allows for the calculation of the object's position at any given time.

Unit Conversion

Unit conversion is essential in physics to ensure consistency and accuracy in calculations. When quantities are provided in different units, converting them to a consistent set (such as converting centimeters to meters or milliseconds to seconds) is necessary before applying any mathematical formulas.

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