
Concept explainers
(a)
The time (t) when the velocity is zero.
(a)

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)

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
Vector Mechanics for Engineers: Statics and Dynamics
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