What is the Angle Between Acceleration and Velocity Vectors When Speeding Up?

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When an object is speeding up, the angle between the acceleration vector and the velocity vector is less than 90 degrees. This is because the acceleration vector has a component in the direction of the velocity vector, indicating an increase in speed. In contrast, when moving at constant speed around an oval track, the acceleration vector remains perpendicular to the velocity vector. Therefore, the relationship between these vectors changes depending on whether the object is accelerating or maintaining constant speed. Understanding this angle is crucial for analyzing motion dynamics.
hannahtuell
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The acceleration vector of an object moving around an oval track with constant speed is always perpendicular to the velocity vector.
Is the angle between the acceleration vector and the velocity vector of an this object when it is speeding up greater or less than 90 degrees?
 
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What do you think?
 
hannahtuell said:
Is the angle between the acceleration vector and the velocity vector of an this object when it is speeding up greater or less than 90 degrees?
Yes (less than 90 degrees, acceleration vector would have a component in the direction of the velocity vector while speed is increasing).
 
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For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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