A particle moves according to a law of motion s= f(t), t2 0, where t is measured in seconds and s in feet. (If an answer

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A Particle Moves According To A Law Of Motion S F T T2 0 Where T Is Measured In Seconds And S In Feet If An Answer 1 (18.18 KiB) Viewed 27 times

A particle moves according to a law of motion s= f(t), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) (t)=³-9t² + 24t (a) Find the velocity (in ft/s) at time t. (t)-(3²-18r+24) R/ (b) What is the velocity (in ft/s) after 1 second? (1) 9 ft/s (c) When is the particle at rest? (Enter your answers a comma-separated list.) t=4,2 (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds.