(1) A train accelerates uniformly from 36km/h to 54km/h in 10s. Find:-
(a) acceleration
(b) The distance travelled.
(2) Derive v² - u² = 2as graphically. Draw the graph.
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11th
Physics
Motion in a Straight Line
Uniformly Accelerated Motion
Derive v2 - u2 = 2as ?
PHYSICS
Asked on December 30, 2019 byKeerti Didwania
Derive v2−u2=2as?
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We will use both of the equations of motion to reach the third equation of motion. This will require a bit of algebra.
S=ut+21at2andv=u+at, include the time variant t
There will be some situations when we do not have any information about time and so it would be a good idea to derive an equation that does not have a t term.
To do this, we rearrange our first equation to get
t=av−u
and use this to replace t wherever it appears in the second equation. So
S=ut+21at2 becomes,
S=u(av−u)+21a(av−u)2
⇒2aS=2u(v−u)+(v−u)2
⇒2aS=2uv−2u2−v2−