Solved: A particle moves according to a law of motion s fstd, t > 0, where t is measured
Chapter 3, Problem 2(choose chapter or problem)
A particle moves according to a law of motion s fstd, t > 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. (h) Graph the position, velocity, and acceleration functions for 0 < t < 6. (i) When is the particle speeding up? When is it slowing down? fstd 9t t 2 1 9
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