Kinematic equations

Physics

1. The Kinematic Equations

2. Kinematics Describes motion without regard to what causes it. Uses equations to represent the motion of an object in terms of acceleration (a), velocity (v), displacement (d) and time (t).

3. Kinematic Equations The kinematic equations are a set of four equations that can be utilized to predict unknown information about an object's motion if other information is known. The equations can be utilized for any motion that can be described as being either a constant velocity motion (an acceleration of 0 m/s/s) or a constant acceleration motion.

4. Equation Symbols

5. Equations v f = v + at d = ( v f + v )t 2 d = v t + ½at 2 v f 2 = v 2 + 2ad

6. Example One: If a car’s initial velocity is 25 m/s, and it accelerated at a rate of 7.5 m/s 2 over a period of 8.0 seconds what is the car’s final velocity?

7. Example Two: If a kicker boots the ball at a velocity of 45 m/s and it is aided by a gust of wind to accelerate at 2.5 m/s 2 and it stays in the air for 3.5 seconds. How far will the ball travel?

8. Example Three: A boy sledding down a hill has an initial speed of 12m/s. He continues to speed up and reaches a final velocity of 18m/s after traveling for 12 seconds. What distance does the boy travel ?

9. Example Four Mr. Billante is notorious for his road rage. After being cut off he accelerates at a rate of 12.3 m/s 2 for 455 m. As he approaches the man who cut him off his final velocity is a ludicrous 125 m/s. What was his initial velocity?