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The acceleration of a particle is directly proportional to the time t. At t 0, the velocity of the particle is o 16 in./s. Knowing that v = 15 in./s and that x 20 in. when t 1 s, determine the velocity, the position, and the total distance traveled when t 7 s.

The acceleration of a particle is directly proportional to the time t. At t 0, the velocity of the particle is o 16 in./s. Knowing that v = 15 in./s and that x 20 in. when t 1 s, determine the velocity, the position, and the total distance traveled when t 7 s.

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.22P
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11.11 The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity of the particle is v = 16 in./s. Knowing that o = 15 in./s and that x = 20 in. when t = 1 s, determine the velocity, the position, and the total distance traveled when t 7 s. 11.12 The acceleration of a particle is defined by the relation a = kt. (a) Knowing that v = -32 ft/s when t = 0 and that t = +32 ft/s when t = 4 s, determine the constant k. (b) Write the equations of motion, knowing also that x = 0 when t = 4 s.
Transcribed Image Text:11.11 The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity of the particle is v = 16 in./s. Knowing that o = 15 in./s and that x = 20 in. when t = 1 s, determine the velocity, the position, and the total distance traveled when t 7 s. 11.12 The acceleration of a particle is defined by the relation a = kt. (a) Knowing that v = -32 ft/s when t = 0 and that t = +32 ft/s when t = 4 s, determine the constant k. (b) Write the equations of motion, knowing also that x = 0 when t = 4 s.
11.10 The acceleration of a particle is directly proportional to the square of the time t. When t = 0, the particle is at x 24 m. Knowing that at t = 6 s, xr = 96 m and e = 18 m/s, express x and o in terms of t.
Transcribed Image Text:11.10 The acceleration of a particle is directly proportional to the square of the time t. When t = 0, the particle is at x 24 m. Knowing that at t = 6 s, xr = 96 m and e = 18 m/s, express x and o in terms of t.
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