The Big 3 Kinematic Equations WE CAN ONLY

The Big 3 Kinematic Equations WE CAN ONLY USE THESE IN ONE DIRECTION AT A TIME (only X or only Y not both at same time)

Equation 1 �Where �Vf = Final Velocity �V 0 = Initial Velocity �a = Acceleration �t = Time

Equation 2 �Where �Vf = Final Velocity �V 0 = Initial Velocity �a = Acceleration �∆x = change in distance

Equation 3 �Where �t = time �V 0 = Initial Velocity �a = Acceleration �∆x = change in distance

Steps to Solve a kinematic Problem 1. Draw a picture of the problem 2. Identify what we know and label them with the proper variables. 3. Check to see if there any hidden values not given in number form (Ex: starts from rest) 4. Identify which variable the question is asking you to solve for. 5. Choose the equation to use based on what we have and what we want. 6. Plug and Chug 7. Check to see if your answer seems reasonable

Example Step # 1 Ima Hurryin is approaching a stoplight moving with a velocity of +30. 0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8. 00 m/s 2, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a + and a - sign. ) Step # 1

Example Steps 2 -4 Ima Hurryin is approaching a stoplight moving with a velocity of +30. 0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8. 00 m/s 2, then determine the displacement of the car during the skidding process. Step 2 and 3 Step 4 Given Need vi = +30. 0 m/s ∆x vf = 0 m/s a = - 8. 00 m/s 2

Example Steps 5 -7 Given Need vi = +30. 0 m/s ∆x vf = 0 m/s a = - 8. 00 m/s 2 Step 5 Equation vf 2 = vi 2 + 2 • a • ∆x Step 6 0 = 302+2(-8) ∆x -900=-16∆x 56. 25 =∆x

Vocab �Distance – (scalar) how much ground an object has covered" during its motion �Displacement - (vector) magnitude from the initial position to the final position of an object. �Speed – (scalar) a Change in distance over a given time �Velocity – (vector) a speed with a direction �Acceleration – (vector) rate of which velocity changes over time