Is Constant Speed Equal to Acceleration?

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Homework Help Overview

The discussion revolves around the concept of acceleration in relation to constant speed, particularly in the context of a car moving at a constant speed of 20 m/s. Participants are exploring whether constant speed can coexist with acceleration, especially when considering changes in direction.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are examining the definitions of speed and velocity, questioning the implications of constant speed on acceleration, and discussing scenarios such as a car turning around a corner.

Discussion Status

The discussion is active, with various perspectives being shared. Some participants have provided clarifications about the distinction between speed and velocity, while others are exploring the implications of acceleration in different contexts. There is no explicit consensus, but productive dialogue is ongoing.

Contextual Notes

Participants are addressing assumptions about the definitions of speed and velocity, as well as the conditions under which acceleration occurs. The original poster's misunderstanding of the question options is noted, but no resolution has been reached.

Hannah1
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A car moving with a constant speed of 20m/s is said to have undergone an acceleration. Is this possible?
A. yes because the car can be going around a corner
B. no because constant speed means there is no acceleration
C. yes because the direction of the car is also constant
D. no because no time is given

I guessed "B. no because constant speed means there is no acceleration" but I was wrong. :/
 
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Acceleration is a vector with magnitude and direction.It is the rate of change of velocity.
2m/s heading north and 2m/s heading south are not equal so there is change in velocity.
If a body going around a corner, the direction of velocity is changing when entering the corner and with a different direction when exit.
 


You can travel at a constant speed around a corner ... you just accelerated. Otherwise B and C are actually equivalent statements and there is no reason to pick one or another.

Real pedants will point out that the magnitude of the acceleration can be zero, and grammarians will point out that the car may have accelerated, but is no longer accelerating. Of course, niether of these are options ;)
 


Understand the difference between speed and velocity. Velocity is a vector that includes a direction component. Speed doesn't.

The expression "constant velocity" would imply constant direction.
The expression "constant speed" leaves open the possibility that the object is changing direction.

A car driving around a circular track at a constant 20mph is moving at constant speed but it's velocity is constantly changing because the direction is changing.

Any change in velocity (either the speed or direction component or both) implies an acceleration and a force.
 

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