A particle initially located at the origin has an acceleration of **\[ \vec{a} = -4.00 \hat{\jmath} \, \text{m/s}^2 \]** and an initial velocity of **\[ \vec{v}_i = 9.00 \hat{\imath} \, \text{m/s} \]**.(a) Find the vector position of the particle at any time \( t \) (where \( t \) is measured in seconds).\[ (\_\_\_\_ \, t \hat{\imath} + \_\_\_\_ \, t^2 \hat{\jmath}) \, \text{m} \](b) Find the velocity of the particle at any time \( t \).\[ (\_\_\_\_ \, \hat{\imath} + \_\_\_\_ \, t \hat{\jmath}) \, \text{m/s} \](c) Find the coordinates of the particle at \( t = 6.00 \, \text{s} \).\[ x = \_\_\_\_ \, \text{m} \]\[ y = \_\_\_\_ \, \text{m} \](d) Find the speed of the particle at \( t = 6.00 \, \text{s} \).\[ \_\_\_\_ \, \text{m/s} \] **Need Help?** - [Read it]- [Watch it]

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Description: A particle initially located at the origin has an acceleration of **\[ \vec{a} = -4.00 \hat{\jmath} \, \text{m/s}^2 \]** and an initial velocity of **\[ \vec{v}_i = 9.00 \hat{\imath} \, \text{m/s} \]**.(a) Find the vector position of the particle at

(a) Position of the particle is : r→f= ri→ +vit→ +12at2 =0+9t i^+ 12(4)t2 j^ = 9t i ^…

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A particle initially located at the origin has an acceleration of a = 4.00j m/s2 and an initial velocity of v = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî+ 2 j) m (b) Find the velocity of the particle at any time t. t j) m/s (c) Find the coordinates of the particle att = 6.00 s. X%3= y = m (d) Find the speed of the particle at t = 6.00 s. m/s

A particle initially located at the origin has an acceleration of a = 4.00j m/s2 and an initial velocity of v = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî+ 2 j) m (b) Find the velocity of the particle at any time t. t j) m/s (c) Find the coordinates of the particle att = 6.00 s. X%3= y = m (d) Find the speed of the particle at t = 6.00 s. m/s

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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