Concept explainers
(a)
Write the position vector of the object as a function of time.
(a)
Answer to Problem 11PQ
The position vector of the object as a function of time is
Explanation of Solution
An object is moving with a initial velocity
Write the formula for the position vector [two-dimensional
Here,
Conclusion:
The initial position vector is
Substitute
Thus, the position vector of the object as a function of time is
(b)
Write the velocity vector of the object as a function of time.
(b)
Answer to Problem 11PQ
The velocity vector of the object as a function of time is
Explanation of Solution
Write the formula for the velocity vector [two-dimensional kinematic equation]
Here,
Conclusion:
Substitute
Thus, the velocity vector of the object as a function of time is
(c)
Write the position vector of the object at time
(c)
Answer to Problem 11PQ
The position vector of the object at time
Explanation of Solution
The position of the object after
Substitute
Thus, the position vector of the object at time
(d)
Write the speed of the object at time
(d)
Answer to Problem 11PQ
The speed of the object at time
Explanation of Solution
The velocity of the object after
Substitute
Thus, the velocity vector of the object at time
The speed of the object is
Thus, the speed of the object at time
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Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
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