The velocityof a particle moving in the xy plane is given by(5.5 t 5.0 t²)î + 9.0 ĵ, within meters per second and t (> 0) in seconds. At t== 1.4 s and in unit-vector notation, what are (a) the x component and (b) the y component of theacceleration? (c) When (if ever) is the acceleration zero? (d) At what positive time does the speedequal 10 m/s?

Name: The velocityof a particle moving in the xy plane is given by(5.5 t 5.
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Description: The velocityof a particle moving in the xy plane is given by(5.5 t 5.0 t²)î + 9.0 ĵ, within meters per second and t (> 0) in seconds. At t== 1.4 s and in unit-vector notation, what are (a) the x component and (b) the y component of theacceleration?

Given that, The velocity v→ of a particle moving in the xy-plane is given by v→=5.5t-5.0t2i^ + 9.0j^…

Answered: The velocity of a particle moving in…

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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The velocity
of a particle moving in the xy plane is given by
(5.5 t 5.0 t²)î + 9.0 ĵ, within meters per second and t (> 0) in seconds. At t
=
= 1.4 s and in unit-vector notation, what are (a) the x component and (b) the y component of the
acceleration? (c) When (if ever) is the acceleration zero? (d) At what positive time does the speed
equal 10 m/s?

Expert Solution

Step 1

Given that,

The velocity $\vec{v}$ of a particle moving in the xy-plane is given by

$\vec{v} = (5.5 t - 5.0 t^{2}) \hat{i} + 9.0 \hat{j}$

Here we have to find out the x and y components of acceleration.

Thus, the acceleration vector is given by

$\vec{a} = \frac{d \vec{v}}{d t}$

Therefore the acceleration is

$\vec{a} = \frac{d \vec{v}}{d t} = (5.5 - 10.0 t) \hat{i} + 0 \hat{j}$

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