What is the slope for the linear function modeling velocity as a function of time, V=, and what would the formula be for the velocity at time 0, V(0)
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.
An engineer is testing how quickly a car accelerates from rest. The velocity V is measured in miles per hour, as a function of time t, in seconds, since the car is at rest. See the table below. What is the slope for the linear function modeling velocity as a function of time, V=, and what would the formula be for the velocity at time 0, V(0)
| Time (t) | Velocity (V) |
| 2.0 | 28.9 |
| 2.5 | 35.0 |
| 3.0 | 41.1 |
| 3.5 | 47.2 |
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