A partičlé moves according to a law of motion s = f(t), t> 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = 3 - 8t2+ 26t (a) Find the velocity at time t. v(t) = 312 - 16t + 26 ft/s

A partičlé moves according to a law of motion s = f(t), t> 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = 3 - 8t2+ 26t (a) Find the velocity at time t. v(t) = 312 - 16t + 26 ft/s

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 18E

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Please help. Thank you b) when is the particle moving in the positive direction? (Enter in interval notation) c) Find the acceleration at time t and after 1 sec d) graph the position, velocity, and acceleration functions for 0(less than or equal to) t (less than or equal to) 6 e) when is the particle speeding up? When is it slowing down?