1. The position of a particle moving along the x-axis is given by x = A+Bt°. Consider the time interval t = 2s tot = 3s. (a) What SI units must A and B have? For the following, let their numerical values in SI units be 9.75 and 1.5, respectively. Then, calculate: (b) the average velocity (c) the average acceleration (d) the instantaneous velocity at t = 2.5s (e) the instantaneous acceleration at t 2.5s (f) the instantaneous velocity when the particle is midway between its positions at 2s and t 3s.

1. The position of a particle moving along the x-axis is given by x = A+Bt°. Consider the time interval t = 2s tot = 3s. (a) What SI units must A and B have? For the following, let their numerical values in SI units be 9.75 and 1.5, respectively. Then, calculate: (b) the average velocity (c) the average acceleration (d) the instantaneous velocity at t = 2.5s (e) the instantaneous acceleration at t 2.5s (f) the instantaneous velocity when the particle is midway between its positions at 2s and t 3s.

Name: 1. The position of a particle moving along the x-axis is given by x =
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Description: 1. The position of a particle moving along the x-axis is given by x = A + Bt³. Considerthe time interval t2s to t = 3s.(a) What SI units must A and B have? For the following, let their numerical valuesin SI units be 9.75 and 1.5, respectively. Then,

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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.

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Question

1. The position of a particle moving along the x-axis is given by x = A + Bt³. Consider
the time interval t
2s to t = 3s.
(a) What SI units must A and B have? For the following, let their numerical values
in SI units be 9.75 and 1.5, respectively. Then, calculate:
(b) the average velocity
(c) the average acceleration
(d) the instantaneous velocity at t = 2.5s
(e) the instantaneous acceleration at t
2.5s
(f) the instantaneous velocity when the particle is midway between its positions at
t = 2s and t = 3s.

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