3.A particle moves in a straight line with uniform acceleration. Its velocity at time t = 0 is v2and at time t = t is v2. The average velocity of the particle in this time interval is (v1+v2 ) / 2 . Is this correct?Substantiate your answer?
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3
Answer:
Average velocity =
Total time
Total distance
Now, total time=t.
Also, v
2
=v
1
+at or a=
t
v
2
−v
1
Thus, s=
2a
v
2
−u
2
=
2(
t
v
2
−v
1
)
v
2
2
−v
1
2
Thus, s=
2
(v
2
+v
1
)t
Thus, average velocity is
2
(v
2
+v
1
)
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