A bicycle's velocity in the x direction, as a function of time is given by: vx(t) = alpha beta(t2). Alpha and beta are constants. 1.) What is the acceleration as a function of time? 2.) What is the position as a function of time? Assume the initial position at t=0 is y. 3. If alpha = 300m/s and beta = 0.100m/s3 and y = 2.00m, what are the positions, velocities, and accelerations at the locations below?
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 bicycle's velocity in the x direction, as a function of time is given by: vx(t) = alpha beta(t2). Alpha and beta are constants.
1.) What is the acceleration as a function of time?
2.) What is the position as a function of time? Assume the initial position at t=0 is y.
3. If alpha = 300m/s and beta = 0.100m/s3 and y = 2.00m, what are the positions, velocities, and accelerations at the locations below?
| t(s) | x(m) | v(m/s) | a(m/s2 |
| 1 | |||
| 2 | |||
| 5 | |||
| 10 | |||
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