A delivery rider is travelling along a horizontal line such that its directed distance from his home at any time t (in hours) is given by s(t) = t³ - 12t² + 45t - 37 (in kilometers). Assume that at the instant when he changes direction, the rider drops off a parcel. (a) At which time interval(s) did the rider speed up? (b) How much is the total distance travelled by the rider at the instant when he dropped off the second parcel?
Displacement, Velocity and Acceleration
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.
Linear Displacement
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, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Step by step
Solved in 2 steps with 2 images