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The equation of motion of a particle is s = 2t³ - 8t² + 3t+2, where s is in meters and t is in seconds. (Assume t ≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s² (c) Graph the position, velocity, and acceleration functions on the same screen.

The equation of motion of a particle is s = 2t³ - 8t² + 3t+2, where s is in meters and t is in seconds. (Assume t ≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s² (c) Graph the position, velocity, and acceleration functions on the same screen.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The equation of motion of a particle is s = 2t³ v(t) = = (a) Find the velocity and acceleration as functions of t. a(t) (b) Find the acceleration after 1 s. a(1) = m/s² S (c) Graph the position, velocity, and acceleration functions on the same screen. S 15 10 -5 - 10 -15 -20 S - 15 10 -5 -10 -15 - 20 F 8t² + 3t + 2, where s is in meters and t is in seconds. (Assume t ≥ 0.) 2 2 Lif a 3 S for S 4 t t 20 15 10 5 -5 -10 -151 S 20 15 10 5 -5 -10 0-15 2 2 S 3 3 V S 4 t t
Transcribed Image Text:The equation of motion of a particle is s = 2t³ v(t) = = (a) Find the velocity and acceleration as functions of t. a(t) (b) Find the acceleration after 1 s. a(1) = m/s² S (c) Graph the position, velocity, and acceleration functions on the same screen. S 15 10 -5 - 10 -15 -20 S - 15 10 -5 -10 -15 - 20 F 8t² + 3t + 2, where s is in meters and t is in seconds. (Assume t ≥ 0.) 2 2 Lif a 3 S for S 4 t t 20 15 10 5 -5 -10 -151 S 20 15 10 5 -5 -10 0-15 2 2 S 3 3 V S 4 t t
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