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FAQs on Derivation of Equations of Motion - Class 9
| 1. What are the three equations of motion? |  |
Ans. The three equations of motion are:
1. v = u + at
2. s = ut + 0.5at^2
3. v^2 = u^2 + 2as
| 2. How do you derive the equation of motion v = u + at? | |
Ans. The equation of motion v = u + at can be derived by using the definition of acceleration, which is the rate of change of velocity. By integrating the acceleration, we can find the change in velocity over a certain time period. This integration process leads to the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
| 3. What is the significance of the equation v^2 = u^2 + 2as? | |
Ans. The equation v^2 = u^2 + 2as is significant as it relates the final velocity (v), initial velocity (u), acceleration (a), and displacement (s) of an object. It allows us to calculate the final velocity of an object when we know its initial velocity, acceleration, and displacement. This equation is particularly useful when dealing with objects undergoing uniform acceleration.
| 4. How can the equation s = ut + 0.5at^2 be derived? | |
Ans. The equation s = ut + 0.5at^2 can be derived by using the definition of displacement, which is the change in position of an object. By integrating the equation v = u + at (derived from the first equation of motion), we can find the displacement over a certain time period. This integration process leads to the equation s = ut + 0.5at^2, where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time.
| 5. Can the equations of motion be applied to non-uniformly accelerated motion? | |
Ans. No, the equations of motion derived in this context are specifically applicable to the case of uniformly accelerated motion, where the acceleration remains constant throughout the motion. For non-uniformly accelerated motion, where the acceleration varies, these equations cannot be directly applied. In such cases, more advanced mathematical techniques and concepts may be required to describe the motion accurately.
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