A particle moves according to the equation x(t)10t + 2t2 - 5, where x is in meters and t is inseconds.a. Find the average velocity for the time interval from 2.00 s to 3.00 s.b. Find the average velocity for the time interval from 2.00 s to 2.10 s.c. Find the expression for the instantaneous velocity at any time t.d. Find the velocity at t=2 s and at t=3 s.e. What is the average acceleration from t-1s to t-4s?f. Find the expression for the acceleration at any time t.g. What is the acceleration at t=1s and at t=4s?

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Description: A particle moves according to the equation x(t)10t + 2t2 - 5, where x is in meters and t is inseconds.a. Find the average velocity for the time interval from 2.00 s to 3.00 s.b. Find the average velocity for the time interval from 2.00 s to 2.10 s.c

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A particle moves according to the equation x(t) = 10t + 2t2 - 5, where x is in meters and t is in seconds. a. Find the average velocity for the time interval from 2.00 s to 3.00 s. b. Find the average velocity for the time interval from 2.00 s to 2.10 s. Find the expression for the instantaneous velocity at any time t. C.

A particle moves according to the equation x(t) = 10t + 2t2 - 5, where x is in meters and t is in seconds. a. Find the average velocity for the time interval from 2.00 s to 3.00 s. b. Find the average velocity for the time interval from 2.00 s to 2.10 s. Find the expression for the instantaneous velocity at any time t. C.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2P

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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

A particle moves according to the equation x(t)
10t + 2t2 - 5, where x is in meters and t is in
seconds.
a. Find the average velocity for the time interval from 2.00 s to 3.00 s.
b. Find the average velocity for the time interval from 2.00 s to 2.10 s.
c. Find the expression for the instantaneous velocity at any time t.
d. Find the velocity at t=2 s and at t=3 s.
e. What is the average acceleration from t-1s to t-4s?
f. Find the expression for the acceleration at any time t.
g. What is the acceleration at t=1s and at t=4s?

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