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Grade: 11
        
formulas list of ch-motion in straight line?
also some importantion questions for annual exams according to CBSE
one month ago

Answers : (1)

Arun
22770 Points
							
 

Equations of Motion

The relationship among different parameter like displacement velocity, acceleration can be derived using the concept of average acceleration and concept of average acceleration and instantaneous acceleration.

When acceleration is constant, a distinction between average acceleration and instantaneous acceleration loses its meaning, so we can write

\vec{a} = \frac{\vec{v}-\vec{v_{0}}}{\vec{t}-\vec{{t_{0}}}} = \frac{d\vec{v}}{dt}

where  is the velocity at t = 0 and \vec{v} is the velocity at some time t.

So,

equation7

equation8              .................. (2)

This is the first useful equation of motion.

Similarly for displacement

 equation9              .................. (3)

in which \vec{x_{0}} is the position of the particle at t0 and \vec{v_{av}} is the average velocity between t0 and later time t. If at t0 and t the velocity of particle is

equation-of-motion                    

This is the second important equation of motion.

Now from equation (2), square both side of this equation we get

This is another important equation of motion.

one month ago
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