A car initially at rest accelerates linearly at a constant...

A car initially at rest accelerates linearly at a constant rate for 5 s. If the final speed of the car is 15 m/s, what was the acceleration of the car?
(A) 50 $\mathrm{m}$
(B) 100 $\mathrm{m}$
(C) 150 $\mathrm{m}$
(D) 200 $\mathrm{m}$

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Key Concepts

Uniform Acceleration

Uniform acceleration refers to a constant rate of change in velocity. When an object accelerates uniformly, its velocity increases linearly with time, which simplifies the analysis using straightforward kinematic equations. This concept is crucial in understanding and solving problems involving change in velocity over a given time period.

Kinematic Equations

Kinematic equations are mathematical formulas that relate displacement, initial velocity, final velocity, acceleration, and time for objects undergoing constant acceleration. They provide a systematic way to solve problems in mechanics, allowing one to calculate any unknown if the others are provided.

Acceleration

Acceleration is defined as the rate of change of velocity with respect to time, typically expressed in meters per second squared (m/s²). In problems where an object starts from rest and reaches a certain speed over a given time, acceleration can be calculated using the formula a = (final velocity - initial velocity) / time.

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