Class 9 > Crash Course: Class 9 > Derivation of 3 Equations of Motion by Graphical Method
Derivation of 3 Equations of Motion by Graphical Method Video Lecture - Crash Course: Class 9
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FAQs on Derivation of 3 Equations of Motion by Graphical Method Video Lecture - Crash Course: Class 9
| 1. What is the graphical method used to derive the equations of motion? |  |
Ans. The graphical method used to derive the equations of motion involves plotting the motion of a particle with time on a graph and determining the slope of the graph at different points. These slopes are then used to derive the equations of motion.
| 2. What are the three equations of motion derived from the graphical method? | |
Ans. The three equations of motion derived from the graphical method are:
1) v = u + at
2) s = ut + 1/2 at^2
3) v^2 = u^2 + 2as
where v is the final velocity, u is the initial velocity, a is the acceleration, s is the displacement, and t is time.
| 3. How is the slope of a displacement-time graph calculated using the graphical method? | |
Ans. The slope of a displacement-time graph is calculated by dividing the change in displacement by the change in time between two points on the graph. Mathematically, slope = Δs/Δt.
| 4. How is the area under a velocity-time graph calculated using the graphical method? | |
Ans. The area under a velocity-time graph is calculated by finding the area of the trapezium formed by the graph and the time axis. Mathematically, area = (u+v)/2 x t.
| 5. How is the acceleration of a particle determined from a velocity-time graph using the graphical method? | |
Ans. The acceleration of a particle can be determined from a velocity-time graph by calculating the slope of the graph at a particular point. Mathematically, acceleration = slope of the velocity-time graph = Δv/Δt.
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