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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)=0.01t4?0.12t3,t>0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. v(t)= (b) What is the velocity after 2 s? v(2)=ft/s (c) When is the particle at rest? t=t=? (first time) s (second time) ? (d) When is the particle moving in the positive direction? (If you need to use co or ?, enter -INFINITY or INFINITY.) (e) Find the total distance traveled during the first 10s. 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 t and after 2.5 . a(t)=ft/s2 (h) Graph the position, velocity, and acceleration functions for 0<t?10. (Do this on paper. Your instructor may ask you to tum in this graph.) When is it slowing dewn?