At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial velocity at t=0.0 s given by: v=6.0m/si-2.0m/sj The particle experiences a constant acceleration beginning at t=0.0s that can be described by a = -2.0m/s²2 +5.0m/s²3 +3.0m/s² k (A) On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle. (B) If we want to determine the position of the particle at a later time t, which physics approach or equation(s) might we use to do so? (C) Find the position of the particle at t=4.0 s. Express your result in terms of the position vector in and and k notation.
At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial velocity at t=0.0 s given by: v=6.0m/si-2.0m/sj The particle experiences a constant acceleration beginning at t=0.0s that can be described by a = -2.0m/s²2 +5.0m/s²3 +3.0m/s² k (A) On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle. (B) If we want to determine the position of the particle at a later time t, which physics approach or equation(s) might we use to do so? (C) Find the position of the particle at t=4.0 s. Express your result in terms of the position vector in and and k notation.
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Chapter1: Units, Trigonometry. And Vectors
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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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Part B and C ASAp!!!!!!!!!
![At time \( t = 0.0 \, \text{s} \) a particle is located at \( x = 4.0 \, \text{m} \) and \( y = 1.0 \, \text{m} \). The particle has an initial velocity at \( t = 0.0 \, \text{s} \) given by:
\[
\vec{v} = 6.0 \, \text{m/s} \, \hat{i} - 2.0 \, \text{m/s} \, \hat{j}
\]
The particle experiences a constant acceleration beginning at \( t = 0.0 \, \text{s} \) that can be described by
\[
\vec{a} = -2.0 \, \text{m/s}^2 \, \hat{i} + 5.0 \, \text{m/s}^2 \, \hat{j} + 3.0 \, \text{m/s}^2 \, \hat{k}
\]
**(A)** On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle.
**(B)** If we want to determine the position of the particle at a later time \( t \), which physics approach or equation(s) might we use to do so?
**(C)** Find the position of the particle at \( t = 4.0 \, \text{s} \). Express your result in terms of the position vector \( \vec{r} \) in \( \hat{i} \) and \( \hat{j} \) and \( \hat{k} \) notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86c8257a-dc3e-47de-95a9-16e2950b2196%2F02beec78-0ad7-4f9f-a041-df2fb4bd6707%2Foiyroeu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:At time \( t = 0.0 \, \text{s} \) a particle is located at \( x = 4.0 \, \text{m} \) and \( y = 1.0 \, \text{m} \). The particle has an initial velocity at \( t = 0.0 \, \text{s} \) given by:
\[
\vec{v} = 6.0 \, \text{m/s} \, \hat{i} - 2.0 \, \text{m/s} \, \hat{j}
\]
The particle experiences a constant acceleration beginning at \( t = 0.0 \, \text{s} \) that can be described by
\[
\vec{a} = -2.0 \, \text{m/s}^2 \, \hat{i} + 5.0 \, \text{m/s}^2 \, \hat{j} + 3.0 \, \text{m/s}^2 \, \hat{k}
\]
**(A)** On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle.
**(B)** If we want to determine the position of the particle at a later time \( t \), which physics approach or equation(s) might we use to do so?
**(C)** Find the position of the particle at \( t = 4.0 \, \text{s} \). Express your result in terms of the position vector \( \vec{r} \) in \( \hat{i} \) and \( \hat{j} \) and \( \hat{k} \) notation.
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