You're a passenger in a car rounding a curve. The driver claims the car isn't accelerating because the speedometer reading is unchanging. Explain why the driver is wrong.

Short Answer

Expert verified
The car is indeed accelerating, despite the constant speed. This is because acceleration concerns changes in velocity, which comprises both speed and direction. As the car rounds a curve, it changes direction, resulting in an altered velocity and thus, acceleration.

Step by step solution

01

Understanding the Situation

Realize that you are in a moving car that is rounding a curve. While the speedometer might be reading a constant speed, it's essential to remember that in statistical physics, speed isn't the only factor contributing to acceleration.
02

Understanding Velocity and Acceleration

Understand that velocity is a vector quantity, meaning it has both a magnitude (speed) and a direction. Acceleration, then, is dictated by any change in this velocity vector.
03

Applying the Concept to the Situation

Recognize that even though the car is maintaining a constant speed (the magnitude of the velocity), it is changing direction as it rounds the curve. This change in direction equates to a change in the velocity vector, thus indicating that an acceleration is present even though the speed is constant.

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