Concept explainers
(a)
To prove:That the particle is always moving towards the right.
(a)
Explanation of Solution
Given information:A particle is moving along x- axis and its position is given by,
Formula used:
Where, v = velocity of object
x = position of object at time t
Proof: Using the formula given in equation (1),
At any time t the velocity of the particle is positive,
So it proves that the particle is always moving to right.
(b)
To prove:That the particle is continuously decelerating.
(b)
Explanation of Solution
Formula used:
Where, a = acceleration at time t
v = velocity of object at time t.
Proof: Using the formula given in equation (2),
At any time t the velocity of the particle is positive,
So it proves that the particle is continuously decelerating.
(c)
To calculate:The position of particle as t tends to infinity.
(c)
Answer to Problem 31E
The position of particle is
Explanation of Solution
Calculation:Calculate the position as t tends to infinity,
So the position of particle is
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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