Chapter 1- Kinematics Regents Physics
One-Dimensional Motion - Acceleration
3324225471805 The time rate of change of velocity is acceleration . Acceleration is a vector quantity and is defined as the change of velocity per unit of time . The equation is:
a= ∆v t
Since velocity\'s units are meters per seconds, and time\'s units are seconds, acceleration\'s units are meters per seconds squared or m/s 2 .
The symbol " ∆" simply means "change in". This requires you to subtract the initial velocity from the final velocity. Therefore:
∆v= v f - v i
Quick Example:
A car increas es its velocity from 2 0 m/s to 45 m/s. What is its change in velocity?

During the course of the year, we will only be working with constant acceleration. With constant acceleration, we may also find average velocity "v" to be equal to:
V = v + v 2

Acceleration Examples:
A golf ball starts from rest. A golfer hits the ball and it travels 80 m/s in 5 seconds. Determine the acceleration of the ball.

A football is thrown 10 m/s and is caught and brought to rest in 4 seconds. Determine the acceleration of the ball. (Be careful with the change in velocity!)

A paper airplane has an acceleration of 5 m/s 2 . If it is thrown from rest, how fast will it be going in 3 seconds ?

A truck\'s change in velocity is 15 m/s. If its acceleration is 3 m/s 2 , how long did it take the truck to accelerate to this velocity?