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4. [5pt] A Lorentzian wave pulse is described by y(x,t) = Aγ²/((x−vt)²+γ²) . Suppose A =...

4. [5pt]
A Lorentzian wave pulse is described by

y(x,t) = Aγ²/((x−vt)²+γ²) .

Suppose A = 3.0 cm, γ = 5.0 cm, and v = 4.0 cm/s.


a) Plot the function for t = 0.55 s.


b) What is the speed of the particle at x = 2.00 cm and t = 0.55 s?
[ans. -0.19 cm/s]

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Answer #1

A 2 (x-vt)2 +2 5cm O, 352 (i (2-4t) 2千25 (A リ 2 5- aオナニー0, 55S 4x0, 55 2.2 cm 2 (o, o.55) -35 O. 0.55) - 2.5 lcm (6-2リ2+25 $(4-4, o.55)= 2.51 cm 、(4.4-2.2) 2十25 C-2.2) +2S (3-8-2-2)* +S 1- 61 cm ヌs.2.2 4.4 G.6 2.5 ון び(B) From eauotion ) (x-4+25 -구 5 dt 2. -41) 4) 25 No 2-2-2 -120 〔(2-2-2)L +25)2 (25.04): 0.13 25.0%) ses An

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