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

In summary, acceleration and velocity are both measures of an object's motion, with acceleration representing the change in velocity over time and velocity representing the speed and direction of motion. They are related in that acceleration is the derivative of velocity with respect to time. Both can be calculated by dividing different measurements, such as change in velocity or displacement, by the change in time. The units for acceleration are typically meters per second squared (m/s^2), while the units for velocity are meters per second (m/s). In real life, examples of acceleration can be seen when a car speeds up or slows down, and examples of velocity can be seen when a plane takes off or a person runs at a constant speed.
  • #1
hannahtuell
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0
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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  • #2
What do you think?
 
  • #3
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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FAQ: What is the Angle Between Acceleration and Velocity Vectors When Speeding Up?

What is the difference between acceleration and velocity?

Acceleration is the rate at which an object's velocity changes over time, while velocity is the speed and direction of an object's motion.

How are acceleration and velocity related?

Acceleration and velocity are related in that acceleration is the derivative of velocity with respect to time. This means that acceleration is the change in velocity over time.

How do you calculate acceleration and velocity?

Acceleration can be calculated by dividing the change in velocity by the change in time, while velocity can be calculated by dividing the displacement by the change in time.

What are the units for acceleration and velocity?

The units for acceleration are typically meters per second squared (m/s^2), while the units for velocity are meters per second (m/s).

What are some real-life examples of acceleration and velocity?

Acceleration can be observed when a car speeds up or slows down, while velocity can be observed when a plane takes off or a person runs at a constant speed.

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