Concept explainers
(a)
To calculate: The position of the particle at time
(a)
Answer to Problem 41E
The required position of the particle is
Explanation of Solution
Given information:
The velocity
The position of the particle =
Calculation:
The given velocity vector is
The position of the particle at
It is seen that the velocity of a particle moving along a path at any time t is
Also, the displacement from
Now, the displacement of the particle for the time
It is seen that the particle is at
Write the position of the particle at
Hence, the required position of the particle is
(b)
To calculate: The distance that the particle travels from
(b)
Answer to Problem 41E
The required distance is
Explanation of Solution
Given information:
The velocity vector:
The position of the particle =
Calculation:
The given velocity vector is
It is seen that the distance that a particle travels from
Now, distance traveled by the particle from time
Hence, the required distance is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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