Acceleration is the rate of change of velocity over time. Speed is the distance an object travels in a given amount of time. Velocity is the speed of an object in a specific direction.
Acceleration can be calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.
Positive acceleration occurs when an object is speeding up, while negative acceleration (also known as deceleration) occurs when an object is slowing down. Negative acceleration can also be referred to as a negative change in velocity.
Acceleration affects an object's motion by changing its speed or direction. If an object has a positive acceleration, it will speed up, while a negative acceleration will cause the object to slow down. Acceleration can also change the direction of an object's motion, such as when a car turns a corner.
Average acceleration is the overall change in velocity over a specific period of time, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration is calculated by dividing the total change in velocity by the total time, while instantaneous acceleration is calculated using the derivative of the object's velocity function.