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Kinematic Equations in Motion Analysis

Understand motion using equations for acceleration, velocity, displacement, and time. Calculate final velocities, distances, and initial speeds in different scenarios.

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Kinematic Equations in Motion Analysis

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  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. Equations vf = vi + at d = (vf + vi)t 2 d = vit + ½at2 vf2 = vi2 + 2ad

  4. If a car’s initial velocity is +25 m/s, and it accelerated at a rate of +7.5 m/s2 over a period of 8.0 seconds what is the car’s final velocity? • vf = 85 m/s • vf = vi + at

  5. 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/s2 and it stays in the air for 3.5 seconds. How far will the ball travel? • d = +170 m • d = vit + ½at2

  6. 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. d = +180 m d = (vf + vi)t 2

  7. Mr. Billante is notorious for his road rage. After being cut off he accelerates at a rate of +12.3 m/s2 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? vi = +66.6 m/s vf2 = vi2 + 2ad

  8. Free Fall • An object is in Free Fall if gravity is the only force acting on an object. (Assume no Air Resistance) • g = acceleration due to gravity on a particular planet • g = - 9.8 m/s2

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