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Particle Motion In Exercises 93-98, the velocity function, in feet per second, is given for a particle moving along a straight line, where t is the time in seconds. Find

(a) the displacement 

(b) the total distance that the particle travels over the given interval.

   

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Vikas
VikasLv10
8 Dec 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The velocity function, in feet per second, is given for a particle moving along a straight line, where t is the time in seconds. Find the displacement of the particle over the given interval.

   

 

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 3 cos πt, where t is measured in seconds.

(a) Find the average velocity during each time period:

(i) [1, 2]

(ii) (1, 1.1]

 

 

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) = t3 − 9t2 + 24t.

  1. (a) Find the velocity at time t.
  2. (b) What is the velocity after 1 second?
  3. (c) When is the particle at rest?
  4. (d) When is the particle moving in the positive direction?
  5. (e) Find the total distance traveled during the first 6 seconds.
  6. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle.
  7. (g) Find the acceleration at time t and after 1 second.
  8.  

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