Is Constant Speed Equal to Acceleration?

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A car moving at a constant speed of 20 m/s can still experience acceleration if it changes direction, such as when going around a corner. This is because acceleration is defined as the rate of change of velocity, which includes both speed and direction. While constant speed indicates no change in magnitude, it does not rule out changes in direction, meaning the car can be accelerating. The distinction between speed and velocity is crucial; speed is a scalar quantity, while velocity is a vector that incorporates direction. Therefore, a car can maintain constant speed while undergoing acceleration due to directional changes.
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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