Net Change Theorem

Question

The velocity function (in meters per second) for a particle moving along a line is given by v(t) = 3t - 4, 0 ≤ t ≤ 3

A. Find the displacement (in meters) of the particle.

Displacement = ________ meters

B. Find the total distance traveled (in meters) by the particle.

Total distance traveled = ________ meters

Answer 1

Displacement s = ∫₀³(3t - 4)dt = (3t²/2 - 4t)₀³ = 27/2 - 12 = 3/2