(✰✰✰✰) A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = −t² + 3t − 2 (in m/s). Find the particle's net displacement and total distance traveled over the time interval [-2, 6]. Net displacement = Total distance traveled = (m) (m) To understand the terms "net displacement" and "total distance travelled," imagine a particle that moves from x = 0 to x = 2, then back to x = 1. Its net displacement is 1, since it started at position 0 and ended at position 1. Its total distance travelled is 3, since it moved 3 units all together.

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(✰✰✰✰) A particle moves along a line. At time t (in seconds), the particle's velocity is
v(t) = −t² + 3t – 2 (in m/s). Find the particle's net displacement and total distance traveled over the
time interval [-2, 6].
Net displacement =
Total distance traveled =
(m)
=
(m)
To understand the terms "net displacement" and "total distance travelled," imagine a particle that
moves from x 0 to x
2, then back to x 1. Its net displacement is 1, since it started at position 0
and ended at position 1. Its total distance travelled is 3, since it moved 3 units all together.
=
=
Transcribed Image Text:(✰✰✰✰) A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = −t² + 3t – 2 (in m/s). Find the particle's net displacement and total distance traveled over the time interval [-2, 6]. Net displacement = Total distance traveled = (m) = (m) To understand the terms "net displacement" and "total distance travelled," imagine a particle that moves from x 0 to x 2, then back to x 1. Its net displacement is 1, since it started at position 0 and ended at position 1. Its total distance travelled is 3, since it moved 3 units all together. = =
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