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Concept explainers
(a)
The time (t) when the velocity is zero.
(a)
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Answer to Problem 11.182RP
The time (t) when the velocity is zero are
Explanation of Solution
Given information:
The motion of the particle is defined by the relation
Calculation:
Write the relation for the model car:
Differentiate Equation (1) with respect to time.
Here, velocity of the particle is v.
Differentiate Equation (2) with respect to time.
Here, acceleration of the particle is a.
Substitute 0 for v in Equation (2).
Therefore, the time (t) when the velocity is zero are
(b)
The position (x) and total distance (d) travelled when the acceleration is zero.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 11.182RP
The position (x) and total distance (d) are
Explanation of Solution
Given information:
The motion of the particle is defined by the relation
Calculation:
Calculate the time
Substitute 0 for a in Equation (3).
For time
For time
Calculate the position
Substitute 0 sec for t in Equation (1).
Calculate the position
Substitute 1 sec for t in Equation (1).
Calculate the position
Substitute 2.5 sec for t in Equation (1).
Calculate the distance travelled
Substitute 4 m for
Calculate the distance travelled
Substitute 15m for
Calculate the total distance (d) using the relation:
Substitute 11 m for
Therefore, the position (x) and total distance (d) are
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Chapter 11 Solutions
Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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