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The velocity function is , .
(a)
Find the displacement.
The velocity is defined as change in displacement over a change in time.
.
Displacement of the particle is ft to the right.
(b) Find the total distance.
, .
The total distance .
is positive when .
Solve
.
is negative when .
Solve
.
The limits of the integral is .
is negative over the interval .
is positive over the interval .
The total distance is ft.
(a) Displacement of the particle is ft to the right.
(b) The total distance ft.
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