You are arguing over a cell phone while trailing an unmarked police car by 25 m; both your car and the police car are traveling at 110 km/h. Your argument diverts your attention from the police car for 2.0 s (long enough for you to look at the phone and yell, “I won’t do that!”). At the beginning of that 2.0 s, the police officer begins braking suddenly at 5.0 m/s2. (a) What is the separation between the two cars when your attention finally returns? Suppose that you take another 0.40 s to realize your danger and begin braking. (b) If you too brake at 5.0 m/s2, what is your speed when you hit the police car?
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.
You are arguing over a cell phone while trailing an
unmarked police car by 25 m; both your car and the police car are
traveling at 110 km/h. Your argument diverts your attention from
the police car for 2.0 s (long enough for you to look at the phone
and yell, “I won’t do that!”). At the beginning of that 2.0 s, the police
officer begins braking suddenly at 5.0 m/s2. (a) What is the separation
between the two cars when your attention finally returns?
Suppose that you take another 0.40 s to realize your danger and
begin braking. (b) If you too brake at 5.0 m/s2, what is your speed
when you hit the police car?
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