A particle moves according to a law of motion s=f(t),t≥0, where t is measured in seconds and s in feet. f(t)=0.01t4−0.05

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A Particle Moves According To A Law Of Motion S F T T 0 Where T Is Measured In Seconds And S In Feet F T 0 01t4 0 05 1 (6.71 KiB) Viewed 41 times

A Particle Moves According To A Law Of Motion S F T T 0 Where T Is Measured In Seconds And S In Feet F T 0 01t4 0 05 2 (13.71 KiB) Viewed 41 times

A Particle Moves According To A Law Of Motion S F T T 0 Where T Is Measured In Seconds And S In Feet F T 0 01t4 0 05 3 (12.57 KiB) Viewed 41 times

A particle moves according to a law of motion s=f(t),t≥0, where t is measured in seconds and s in feet. f(t)=0.01t4−0.05t3
(d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance (in feet) traveled during the first 9 s. (Round your answer to two decimal places.) ft
When, for 0≤t<∞, is the particle speeding up? (Enter your answer using interval notation.) x When, for 0≤t<∞, is it slowing down? (Enter your answer using interval notation.)