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Expert: Alon Mandes - 12/3/2009


Question
  Suppose a particle is observed moving along a straight line, and suppose  that the velocity v of the particle as a function of time t is given by v(t)=2sin*t*pi (mm/s).
   a)Find the net change in the position of the particle in the first 3 seconds;
   b)Find the time t when the particle is at the rest in the first 3 seconds;
   c)Find the total distance travelled by the particle during the first 3 seconds.  

Answer
v(t)=2sin(pit)
The particle is at rest when v(t)=0. Therefore : sin(pit)=0 --> t=0+k*pi --> t=pi .
x(t)=-(2/pi)cos(pit) "The position function"
The neto change of the position is Integral of x(t), t goes from 0 to 3 :
Neto=-(2/pi^2)sin(pit){at t=3)=-(2/pi^2)sin(3pi)=0
To find total change ,we calculate Integral of |v(t) .

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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