Distance traveled and displacement Suppose an object moves along a line with velocity (in m/s) v ( t ) = 3 sin 2 t , for 0 ≤ t ≤ 2 π , where t is measured in seconds (see figure). a. Find the distance traveled by the object on the time interval [0, π/2]. b. Find the displacement of the object on the time intervals (0, π/2], [0, π] , (0, 3 π/2], and [0, 2π] . ( Hint: Use your answer to part (a) together with the symmetry of the graph to find the displacement values.) c. Find the distance traveled by the object on the time interval [0, 2π].
Distance traveled and displacement Suppose an object moves along a line with velocity (in m/s) v ( t ) = 3 sin 2 t , for 0 ≤ t ≤ 2 π , where t is measured in seconds (see figure). a. Find the distance traveled by the object on the time interval [0, π/2]. b. Find the displacement of the object on the time intervals (0, π/2], [0, π] , (0, 3 π/2], and [0, 2π] . ( Hint: Use your answer to part (a) together with the symmetry of the graph to find the displacement values.) c. Find the distance traveled by the object on the time interval [0, 2π].
Distance traveled and displacement Suppose an object moves along a line with velocity (in m/s)
v
(
t
)
=
3
sin
2
t
, for
0
≤
t
≤
2
π
, where t is measured in seconds (see figure).
a. Find the distance traveled by the object on the time interval [0, π/2].
b. Find the displacement of the object on the time intervals (0, π/2], [0, π], (0, 3 π/2], and [0, 2π]. (Hint: Use your answer to part (a) together with the symmetry of the graph to find the displacement values.)
c. Find the distance traveled by the object on the time interval [0, 2π].
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