1. Average Velocity • Average speed is the distance traveled along its path divided by the time it takes to travel that distance • Average velocity has both magnitude and direction • + or – sign can signify the direction for linear motion Physics 2 Kinematics in One Dimension - Christopher Chui

2. Instantaneous Velocity • Instantaneous velocity at any moment is the average velocity over an infinitesimally short time interval: v = Dx/Dt as the limit Dt  0 • Instantaneous speed is always equal to the magnitude of the instantaneous velocity Physics 2 Kinematics in One Dimension - Christopher Chui

3. Acceleration • Average acceleration is the change in velocity divided by the time taken to make the change • Instantaneous acceleration: a = Dv/Dt as the limit Dt  0 • Acceleration tells how fast the velocity changes • Velocity tells how fast the position changes Physics 2 Kinematics in One Dimension - Christopher Chui

4. Motion at a Constant Acceleration • Uniform accelerated motion is when the magnitude of the acceleration is constant and the motion is in a straight line • v = vo + a*t a being constant • Average velocity = (vo + v)/2 a: constant • x = xo + vot + at2/2 a: constant • v2 = vo2 + 2a(x – xo) Physics 2 Kinematics in One Dimension - Christopher Chui

5. Problem Solving • Read and reread the problem before solving it • Draw a diagram to show the situation • Write down what quantities are known and what are unknown • Think what principles of physics apply • Consider which equation relate the quantities involved • Perform the calculation • Do a rough estimate using the powers of 10 • Keep track of the units on both sides of the equation Physics 2 Kinematics in One Dimension - Christopher Chui

6. Falling Objects • Galileo found that all objects, light or heavy, fall with the same constant acceleration, g • The distance traveled is proportional to t2 • Acceleration due to gravity = 9.80 m/s2 • Acceleration due to gravity is always downwards towards the center of the earth • Velocity and acceleration are not always in the same direction • a is not 0 even at the highest point • Linear motion can be solved by using a graph Physics 2 Kinematics in One Dimension - Christopher Chui