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Physics
Physics
Problem
A point moves with constant acceleration,
a
a
a
, along the
x
x
x
-axis. If it moves distances
Δ
x
1
\Delta x_1
Δ
x
1
and
Δ
x
2
\Delta x_2
Δ
x
2
in successive intervals of time
Δ
t
1
\Delta t_1
Δ
t
1
and
Δ
t
2
\Delta t_2
Δ
t
2
, prove that the acceleration is
a
=
2
(
v
2
−
v
1
)
/
T
a = 2(v_2 - v_1)/T
a
=
2
(
v
2
−
v
1
)
/
T
where
v
1
=
Δ
x
1
/
Δ
t
1
v_1 = \Delta x_1/\Delta t_1
v
1
=
Δ
x
1
/Δ
t
1
,
v
2
=
Δ
x
2
/
Δ
t
2
v_2 = \Delta x_2/\Delta t_2
v
2
=
Δ
x
2
/Δ
t
2
, and
T
=
Δ
t
1
+
Δ
t
2
T = \Delta t_1 + \Delta t_2
T
=
Δ
t
1
+
Δ
t
2
.
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