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Solved: CALC A bird flies in the xy-plane with a velocity
Chapter 3, Problem 46P(choose chapter or problem)
CALC A bird flies in the xy-plane with a velocity vector given by \(\vec{v}=\left(\alpha-\beta t^{2}\right) \hat{\imath}+\gamma t \hat{\jmath} .\). With
\(\alpha=2.4 \mathrm{~m} / \mathrm{s}, \beta=1.6 \mathrm{~m} / \mathrm{s}^{3}, \text { and } \gamma=4.0 \mathrm{~m} / \mathrm{s}^{2}\). The positive 𝑦-direction is vertically upward. At
𝑡 = 0 the bird is at the origin. (a) Calculate the position and acceleration vectors of the bird as functions of time. (b) What is the bird’s altitude (𝑦-coordinate) as it flies over 𝑥 = 0 for the first time after 𝑡 = 0?
Equation Transcription:
Text Transcription:
v=(-t2) î+tĵ
alpha=2.4 m/s, =1.6 m/s3, and =4.0 m/s2
t=0
x=0
t=0
Questions & Answers
QUESTION:
CALC A bird flies in the xy-plane with a velocity vector given by \(\vec{v}=\left(\alpha-\beta t^{2}\right) \hat{\imath}+\gamma t \hat{\jmath} .\). With
\(\alpha=2.4 \mathrm{~m} / \mathrm{s}, \beta=1.6 \mathrm{~m} / \mathrm{s}^{3}, \text { and } \gamma=4.0 \mathrm{~m} / \mathrm{s}^{2}\). The positive 𝑦-direction is vertically upward. At
𝑡 = 0 the bird is at the origin. (a) Calculate the position and acceleration vectors of the bird as functions of time. (b) What is the bird’s altitude (𝑦-coordinate) as it flies over 𝑥 = 0 for the first time after 𝑡 = 0?
Equation Transcription:
Text Transcription:
v=(-t2) î+tĵ
alpha=2.4 m/s, =1.6 m/s3, and =4.0 m/s2
t=0
x=0
t=0
ANSWER:
Solution 46P
A bird flies in the xy-plane with a velocity vector given by
Where
(a).The bird’s position vector is given by