.. Newton's second equation of motion is = ut
Equation describing the relation between displacement and velocity
-IN
at?
We have seen that from the graph in figure 19 we can determine the distance covered
by the object in time t from the area of the quadrangle DOEB. DOEB is a trapezium. So
we can use the formula for its area.
.. s = area of trapezium DOEB
..s = * sum of lengths of parallel sides * distance between the parallel sides
2
..s=
X (OD + BE ) OE But, OD = u, BE = v and OE = t
2
1
...SE
2
* (u + v) xt
- (ii)
(v-u)
But, a =
Always remember
(v-u)
--(iii)
a
1
.. S =
(v-u)
x (u + v) x-
The velocity of an accelerate
object changes with time. Chang
in the velocity can be due to
change in direction or magnitu
of the velocity or both.
2
a
(v+u) ( v-u)
.. S =
2a
.. 2 as =(v+u) ( v-u) = y2-u?
... v2= u? + 2as
this is Newton's third equation of motion.
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