# KINEMATICS EQUATIONS Its all about Kinematics Equations Kinematic

KINEMATICS EQUATIONS

Its all about Kinematics Equations � Kinematic Equations � the branch of mechanics concerned with the motion of objects without reference to the forces that cause the motion. � Two types of Equations � Constant Velocity Equations (acceleration = 0) � Constant Acceleration questions (velocity is constantly changing) (a≠ 0 but is a constant…the same)

� Displacement with Constant Acceleration

Velocity with Average Acceleration �

Displacement with Constant Acceleration �

Displacement with Constant Acceleration �

Displacement with Constant Acceleration �

The Fab Four of Kinematics �

Oh so important little table!!!! © 2014 Pearson Education, Inc.

Question 1: Coming to a stop 1. As you drive in your car at 15 m/s (just a bit under 35 mph), you see a child’s ball roll into the street ahead of you. You hit the brakes and stop as quickly as you can. In this case, you come to rest in 1. 5 s. How far does your car travel as you brake to a stop?

Question 1: Coming to a stop • Draw the pictures (particle motion and VT) • Do not forget the v and a vectors

Question 1 Answer ACCELERATION: Distance Traveled: © 2015 Pearson Education, Inc.

Question 2: Kinematics of a rocket launch A Saturn V rocket is launched straight up with a constant acceleration of 18 m/s 2. After 150 s, how fast is the rocket moving and how far has it traveled? © 2015 Pearson Education, Inc.

Question 2: Kinematics of a rocket launch (cont. ) Speed: Distance Traveled: © 2015 Pearson Education, Inc.

Question 3: Calculating the minimum length of a runway A fully loaded Boeing 747 with all engines at full thrust accelerates at 2. 6 m/s 2. Its minimum takeoff speed is 70 m/s. How much time will the plane take to reach its takeoff speed? What minimum length of runway does the plane require for takeoff? USE YOUR WORKSHEET DRAW THE PICTURE!!!!!

Question 3: Calculating the minimum length of a runway (cont. ) Time: © 2015 Pearson Education, Inc.

Question 3: Calculating the minimum length of a runway (cont. ) Runway Length: © 2015 Pearson Education, Inc.

QUESTION 4 � A position-time graph of a bike moving with constant acceleration is shown on the right. Which statement is correct regarding the displacement of the bike? A. The displacement in equal time interval is constant. B. The displacement in equal time interval progressively increases. C. The displacement in equal time interval progressively decreases. D. The displacement in equal time interval first increases, then after reaching a particular point it decreases.

Example Problem (if We have time): Champion Jumper The African antelope known as a springbok will occasionally jump straight up into the air, a movement known as a pronk. The speed when leaving the ground can be as high as 7. 0 m/s. If a springbok leaves the ground at 7. 0 m/s: A. How much time will it take to reach its highest point? B. How long will it stay in the air? C. When it returns to earth, how fast will it be moving? Answers: A: 0. 71 s B: 1. 4 s C: 7. 0 m/s

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