... if it is changing monotonically, that is.kuruman said:
Yes, thanks. Instead of "always", I should have said "only at certain times".haruspex said:
The condition for instantaneous acceleration to equal average acceleration is when an object undergoes uniform acceleration, meaning that its velocity changes by the same amount in each unit of time.
This condition is important because it allows us to simplify the calculation of acceleration by using the average velocity over a given period of time instead of having to measure the exact velocity at a specific moment in time.
This condition can be applied in various real-world situations, such as calculating the acceleration of a car during a race or the acceleration of a falling object due to gravity. It allows us to analyze and understand the motion of objects in a more efficient manner.
Yes, instantaneous acceleration can be greater than average acceleration when an object undergoes non-uniform acceleration, meaning that its velocity changes by different amounts in each unit of time.
No, this condition is not always true for all types of motion. It only applies to objects undergoing uniform acceleration. For objects with non-uniform acceleration, the condition does not hold and the instantaneous acceleration will not equal the average acceleration.
