A particle moves along the x-axis according to x(t) = 32t - 4t² m. (Round all answers to at least the nearest integer.) (a) What is the instantaneous velocity (in m/s) at t = 2 s and t = 6 s? (Indicate the direction with the sign of your answer.) v(2 s) = X m/s x m/s v(6 s) = (b) What is the instantaneous speed (in m/s) at these times? s(2 s) = s(6 s) = m/s m/s (c) What is the average velocity (in m/s) between t = 2 s and t = 6 s? (Indicate the direction with the sign of your answer.)

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, fo…