A particle moves on a straight line so that its position s (in feet) at time t (in seconds) is given by s = 2t³ - 18t² + 56. a. Determine the velocity function v(t) and the acceleration function a (t). b. Is the particle is speeding up or slowing down when t = 2 seconds? c. Find the total distance traveled by the particle during the first 10 seconds.

A particle moves on a straight line so that its position s (in feet) at time t (in seconds) is given by s = 2t³ - 18t² + 56. a. Determine the velocity function v(t) and the acceleration function a (t). b. Is the particle is speeding up or slowing down when t = 2 seconds? c. Find the total distance traveled by the particle during the first 10 seconds.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 7P

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