EQUATIONS OF MOTION

FIRST EQUATION OF MOTION

CONTENTS

• First equation of Motion
• Second Equation of Motion
• Third Equation of Motion

First Equation of Motion

• The Uniform acceleration “a” of the car can be given as

• Suppose a car is moving with an initial velocity “Vi”, after some time “t” its velocity becomes the final velocity “Vf”.

• Vf= Vi+at

• First equation of motion is used to calculate final Velocity of any object.

Second Equation of Motion

• When we are asked to find/ calculate the distance covered by the object after time interval t, while initial velocity of the body is given the second equation of the motion is used.

• As we know that the average velocity of the body can be given as;

• From 1^st equation of motion, we have:

Vf= Vi + at

Second Equation of Motion

• As we know:
• S= v*t and v= s/t

Third Equation of Motion

Relation ship between velocity and distance when time is not given.

Third Equation of Motion

• Third equation of motion can be derived using 1^st equation and 2^nd equation of motion.

• From 1^st equation of motion, we have;

• Vf = Vi + at

• Taking square on both sides

• (Vf )^2= (Vi + at)^2

• (a+b)^2= a^2 +2ab+b^2

(i)

Third Equation of Motion

• From 2^nd equation of motion, we have;

• Substitute above in eq. (i)

• This is third equation of motion.

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