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A particle moves along the x-axis so that its position… | StemPy Lab
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A particle moves along the x-axis so that its position at time t is x = t³ - 6t² + 9t, where x is in metres and t is in seconds. During the first 4 seconds of the motion, from t = 0 to t = 4 s, the total distance travelled by the particle is
Physics
Medium
High School (11–12)
Mechanics › Motion in a Straight Line
Created by
StemPy Lab
A particle moves along the x-axis so that its position at time
t
t
t
is
x
=
t
3
−
6
t
2
+
9
t
x = t^3 - 6t^2 + 9t
x
=
t
3
−
6
t
2
+
9
t
, where
x
x
x
is in metres and
t
t
t
is in seconds. During the first
4
4
4
seconds of the motion, from
t
=
0
t = 0
t
=
0
to
t
=
4
s
t = 4\ \text{s}
t
=
4
s
, the total distance travelled by the particle is
4
m
4\ \text{m}
4
m
8
m
8\ \text{m}
8
m
12
m
12\ \text{m}
12
m
16
m
16\ \text{m}
16
m
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