Computation. An object's position is given by r(t) = [a + Bt] i + [v+ ot²] 3 where ● a = 2.68 m B = 1.14 m/s - Y = 3.12 m • σ = -3.6 m/s² Calculate the magnitude of its acceleration à at t = 1.4 s. a = m/s²
Computation. An object's position is given by r(t) = [a + Bt] i + [v+ ot²] 3 where ● a = 2.68 m B = 1.14 m/s - Y = 3.12 m • σ = -3.6 m/s² Calculate the magnitude of its acceleration à at t = 1.4 s. a = m/s²
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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![### Computation
An object's position is given by the equation:
\[
\vec{r}(t) = [\alpha + \beta t] \hat{i} + [\gamma + \sigma t^2] \hat{j}
\]
where:
- \(\alpha = 2.68 \, \text{m}\)
- \(\beta = 1.14 \, \text{m/s}\)
- \(\gamma = 3.12 \, \text{m}\)
- \(\sigma = -3.6 \, \text{m/s}^2\)
**Problem: Calculate the magnitude of its acceleration \(\vec{a}\) at \(t = 1.4 \, \text{s}\).**
\[
a = \underline{\hspace{3cm}} \, \text{m/s}^2
\]
**Instruction: Record your numerical answer below, assuming three significant figures.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29b2b324-5777-4e86-8949-1856ae23b158%2Fb7cbdc8e-0015-4bbf-85dd-004acbeb01d3%2Fcr6vvpo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Computation
An object's position is given by the equation:
\[
\vec{r}(t) = [\alpha + \beta t] \hat{i} + [\gamma + \sigma t^2] \hat{j}
\]
where:
- \(\alpha = 2.68 \, \text{m}\)
- \(\beta = 1.14 \, \text{m/s}\)
- \(\gamma = 3.12 \, \text{m}\)
- \(\sigma = -3.6 \, \text{m/s}^2\)
**Problem: Calculate the magnitude of its acceleration \(\vec{a}\) at \(t = 1.4 \, \text{s}\).**
\[
a = \underline{\hspace{3cm}} \, \text{m/s}^2
\]
**Instruction: Record your numerical answer below, assuming three significant figures.**
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