Question

A particle moves according to a law of motion s = ft), t 0, where t is measured in seconds and s in feet. t)-te-t2 (a) Find the velocity at time t (in ft/s) v(t) e (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 s. (Round your answer to two decimal places.) ft (f) Find the acceleration at timet (in ft/s) a(t) Find the acceleration after 2 s. (Round your answer to three decimal places.) |ft/s2 a(2) (g) Graph the position, velocity, and acceleration functions for the first 6 s y 2.0 2.0 1.5P 1.5 1.0 1.0 0.5F 0.5 1 7 -0.5 s -0.5F a -1.02 -1.0 2.0h 2.0 1.5P 1.5 1.0 1.0 0.5 0.5 7 -0.5 y -0.5 s -1.0 -1.0 , is the particle speeding up? (Enter your answer using interval notation.) (h) When, for 0 st When, for 0 st, is it slowing down? (Enter your answer using interval notation.) Your work in question(s) 2 will also be submitted or saved. Save Assignment Progress Submit Assignment

Answer 1

te ti2 )&P te e t/z 1

Eader 1 211 W-21 Le(-1 +1). when parhele e 25 Cuhen parhele 1's トmovin g 21 2 ree Oct2) ses