class 9 physics Chapter 8 Motion all formulas please
Answers
All formulas of class 9 physics chapter 8 Motion are given as velocity(v), acceleration(a), displacement(S), time(t), average velocity(Av), Average acceleration.
- Basic formulas:-
- velocity(v)=displacement(S)/time(t)
- average velocity(Av)=total displacement(S)/total time taken(t)
- acceleration(a)= velocity(v)/time(t)
- Average acceleration=(final velocity(v)-initial velocity(u))/total time taken(t)
- The formulas for the motion of one dimensional:-
- S=ut+(1/2)at²
- v²=u²+2aS
- v=u+at
What is motion in physics?
- The action of moving things from one place to another with reference to someone is termed to be in motion.
- The motion of a body is outlined by the acceleration of that body, velocity of that body, time taken by that body to perform the work(t), and the displacement of that body(S).
- The motion of a body can be periodic, translational, non-periodic, and rotational.
Answer:
V = u + at
soln.
Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.
Now we know that:
Acceleration = change in velocity/Time taken
=> Acceleration = Final velocity-Initial velocity / time taken
=> a = v-u /t
=>at = v-u
or v = u + at
This is the first equation of motion.
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(2) Second equation of motion:
s = ut + 1/2 at^2
sol.
Let the distance traveled by the body be “s”.
We know that
Distance = Average velocity X Time
Also, Average velocity = (u+v)/2
.: Distance (t) = (u+v)/2 X t …….eq.(1)
Again we know that:
v = u + at
substituting this value of “v” in eq.(2), we get
s = (u+u+at)/2 x t
=>s = (2u+at)/2 X t
=>s = (2ut+at^2)/2
=>s = 2ut/2 + at^2/2
or s = ut +1/2 at^2
This is the 2nd equation of motion.
……………………………………………………………
(3) Third equation of Motion
v^2 = u^2 +2as
sol.
We know that
V = u + at
=> v-u = at
or t = (v-u)/a ………..eq.(3)
Also we know that
Distance = average velocity X Time
.: s = [(v+u)/2] X [(v-u)/a]
=> s = (v^2 – u^2)/2a
=>2as = v^2 – u^2
or v^2 = u^2 + 2as
This is the third equation of motion.
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