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Mathematics
Problem
An object moves along a straight line and its position at time
t
t
t
(in seconds) is given by
x
(
t
)
=
t
3
3
−
5
t
2
2
+
6
t
x(t)=\frac{t^{3}}{3}-\frac{5 t^{2}}{2}+6 t
x
(
t
)
=
3
t
3
−
2
5
t
2
+
6
t
On the interval
0
≤
t
≤
5
0 \leq t \leq 5
0
≤
t
≤
5
, compute the total distance travelled and hence the average speed.
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