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Mathematics
Mathematics
Problem
The velocity of a particle is
v
=
v
0
+
g
t
+
f
t
2
v = v_0 + gt + ft^2
v
=
v
0
+
g
t
+
f
t
2
. If its position is
x
=
0
x = 0
x
=
0
at
t
=
0
t = 0
t
=
0
, then its displacement after unit time (
t
=
1
t = 1
t
=
1
) is (a)
v
0
+
g
/
2
+
f
v_0 + g/2 + f
v
0
+
g
/2
+
f
(b)
v
0
+
2
g
+
3
f
v_0 + 2g + 3f
v
0
+
2
g
+
3
f
(c)
v
0
+
g
/
2
+
f
/
3
v_0 + g/2 + f/3
v
0
+
g
/2
+
f
/3
(d)
v
0
+
g
+
f
v_0 + g + f
v
0
+
g
+
f
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