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The Kinematic Equations

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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).

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Equations v f = v i + atd = (v f + v i )t 2 d = v i t + ½at 2 v f 2 = v i 2 + 2ad

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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? v f = 85 m/s v f = v i + at

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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? d = +170 m d = v i t + ½at 2

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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 = (v f + v i )t 2

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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? v i = +66.6 m/s v f 2 = v i 2 + 2ad

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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/s 2

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