The relation between time t and distance x is t = x
2 + x where
and are constants. Find the relation between velocity and
acceleration
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11th
Physics
Motion in a Straight Line
Acceleration
The relation between time t...
PHYSICS
The relation between time t and distance x is t=ax
2
+bx where a and b are constants.The acceleration is
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ANSWER
t=ax
2
+bx
Differentiate w.r.t time
1=2ax
dt
dx
+b
dt
dx
dt
dx
=
2ax+b
1
V=
2ax+b
1
...(1)
a=
dt
dV
=
(2ax+b)
2
−(2a
dt
dx
)
a=
(2ax+b)
2
−2av
....(2)
Substiting
2ax+b
1
=V in (2)
we will get, a=−2av
3
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