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(Solved): Please help!!! A particie moves according to a law of motion s=f(t)=0.01t40.12t3,t>0, where t ...



Please help!!!
A particie moves according to a law of motion \( s=f(t)=0.01 t^{4}-0.12 t^{3}, t>0 \), where \( t \) is measured in seconds a
(f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this g
A particie moves according to a law of motion , where is measured in seconds and in feet. (a) Find the velocity at time t. (b) What is the velocity after 2 s? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (If you need to use or , enter -INFINITY or INFINITY.) (e) Find the total distance traveled during the first . feet (f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this graph.) (g) Find the acceleration at time and after 2.5 . (h) Graph the position, velocity, and acceleration functions for . (Do this on paper. Your instructor may ask you to tum in this graph.) When is it slowing dewn?


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