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Why do take derivative?
To find rate of change. Two common examples are: rate of change in position = velocity and rate of change of velocity = acceleration.
How do you safely change a car's velocity?
Slowly press on the accelerator to go more quickly. Slowly press down on the brake pedal to go more slowly. These two operations can safely change a car's velocity.
How do you find acceleration using velocity and time?
Acceleration = (change in velocity) divided by (time for the change)
What does velocity divided by the time interval equal?
It equals an undefined entity. The average acceleration of an object equals the CHANGE in velocity divided by the time interval. The term "change in velocity" is not the same as the term "velocity", "average velocity", or "instantaneous velocity".
What is the rate of change of position at a specific point in time?
The rate of change of position is the velocity. The velocity at a specific point in time is called the instantaneous velocity.
