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LO. Displacement equation for a particle moving in a straight line
is x =
at + ßt2 + yt+. The ratio of the initial acceleration
to the initial velocity depends only on
[Fill in the blank][B and y
= a
Answers
Answered by
0
Explanation:
Given,
Displacement, x=αt
3
+βt
2
+γt+δ
Velocity, v=
dt
dx
=3αt
2
+2βt+γ
The initial velocity, t=0sec
v
0
=
dt
dx
=γ. . . . . .(1)
Acceleration, a=
dt
2
d
2
x
=
dt
dv
=6αt+2β
The Initial acceleration at t=0sec
a
0
=
dt
dv
=2β. . . . . . . . .(2)
Ratio,
v
0
a
0
=
γ
2β
The ratio of initial acceleration to initial velocity depends on β and γ only.
The correct option is B.
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