Calculus/Math

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Expert: Alon Mandes - 5/11/2009


Question
Please help me answer this question,

Carolyn drops a sandbag from the top of a tall building h feet high.  At the same time, John throws a ball upward from ground level from a point directly below the sandbag.  With what initial velocity should the ball be thrown so that it meets the sandbag at the halfway point, where both have altitude h/2?

Answer
The Sand Bag :
vo=0
v=gt
x=˝gt˛
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The Ball :
u=uo-gt
x=uot-˝gt˛
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1. The Sandbag makes half way when :˝h=˝gt˛-> to= √(h/g)
2. Both Sandbag & ball makes the same way : uoto-˝gto˛=˝gto˛ ->
  uo-˝gto=˝gto -> uo-˝g[√(h/g)]=˝g[√(h/g)]to -> uo=2√(gh) .
g is the gravitation acceleration .

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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