A car starts from rest and travels for 7.0 s with a uniform acceleration of +2.1 m/s2. The driver then applies the brakes, causing a uniform acceleration of −1.5 m/s2. If the brakes are applied for 2.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? ________m/s (b) How far has the car gone? ________m A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 1.60 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.46 m/s2, determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) _______s
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.
A car starts from rest and travels for 7.0 s with a uniform acceleration of +2.1 m/s2. The driver then applies the brakes, causing a uniform acceleration of −1.5 m/s2. If the brakes are applied for 2.0 s, determine each of the following.
________m/s
(b) How far has the car gone?
________m
_______s
(b) How far has he traveled in that time?
_______m
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