We're asked to calculate the average velocity of a particle given a change in position and a change in time.
Recall that the average velocity of an object, , is related to the change in position (displacement,) over change in time Δt:
Velocity is a vector, which means the signs really matter (unlike speed, which is a scalar.)
(a) For the particle in this problem, we're first asked to calculate its average velocity between t1 and t2. We're given that x1 = 3.4 cm, x2 = 8.0 cm, t1 = −5.4 s, and t2 = 5.6 s.
A particle is at x1 = 3.4 cm when t1 = −5.4 s and is at x2 = 8.0 cm when t2 = 5.6 s .
(a) What is its average velocity?
(b) Can you calculate its average speed from these data?
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