(a) Explanation Given information: The motion of a particle is x = t 3 − 9 t 2 + 24 t − 8 . Calculation: Write the relation for motion of a particle: x = t 3 − 9 t 2 + 24 t − 8 (1). Here, position of the particle is x and time is t . Differentiate Equation (1) with respect to time. v = d x d t = 3 t 2 − 18 t + 24 (2). Here, velocity of the particle is v . Differentiate Equation (2) with respect to time. a = d v d t = 6 t − 18 (3) (b) To determine The position ( x ) and the total distance travelled when the acceleration is zero.

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 11.1, Problem 11.6P

(a)

To determine

The values of time when the velocity is zero.

(b)

To determine

The position (x) and the total distance travelled when the acceleration is zero.

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Chapter 11.1, Problem 11.5P

Chapter 11.1, Problem 11.7P

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Chapter 11 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - Prob. 11.2P Ch. 11.1 - Prob. 11.3P Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - Prob. 11.5P Ch. 11.1 - Prob. 11.6P Ch. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by the...

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