Change in direction of velocity

AI Thread Summary
Changing direction while maintaining speed results in a change in velocity, as velocity is a vector quantity that includes direction. To calculate acceleration, one must consider the change in velocity over time, which is defined as acceleration. Even if speed remains constant, a change in direction implies a non-zero change in velocity, leading to acceleration. The discussion emphasizes the importance of treating velocity as a vector and applying the appropriate mathematical principles, such as vector addition and the Pythagorean theorem, to analyze motion. Understanding these concepts is crucial for accurately calculating acceleration in scenarios involving directional changes.
ahmed emad
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If I'm driving a car and I have changed my dierction of motion without changing the speed, in this case how to calculate the acceleration of the car in a particular time? I'm not talking about circular motion.
 
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Acceleration is change in velocity divided by elapsed time. How much elapsed time?
 
I don't care about this , I care about that the change in velocity will be zero always , and in this case must be accelerarion.
 
ahmed emad said:
I don't care about this , I care about that the change in velocity will be zero always , and in this case must be accelerarion.

Not true. Speed has no sign, but velocity does. If the initial velocity is +1 in some direction, then the same velocity in the other direction is -1, a change of 2.
 
ahmed emad said:
I don't care about this
If you want to calculate acceleration then you have to care about the time. It is part of the definition.
 
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Likes sophiecentaur
I know but it's an easy part , the hard part for me to calculate the change in velocity
 
##\Delta v=v_{final}-v_{initial}##

Don't forget that ##v## is a vector
 
Ya,but but what if speed not changing only direction
 
It is still the same formula, but don't forget that v is a vector
 
  • #10
Okay , but the change in velocity will be zero and acceleration also will be zero , and that's wrong ,because if there is change in direction so it must be acceleration
 
  • #11
So should I make vectors addtion and use pythagorean theorem formula ?
 
  • #12
ahmed emad said:
Okay , but the change in velocity will be zero
No, it won't. Write it down and see. Remember v is a vector.
 
  • #13
Okay thank you very much
 
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