Q.3 a) If acceleration components of an electron are given by d²x - b d²y 0, dt dy dx b- = a dt dt? dt2 Find its path if it were at rest at origin initially.

Q: (b) Amovingparticle starts at an initial positionr(0) = 1li + 2j +1k withinitial velocity v(0) = li…

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Q: 2. a). Find the velocity and acceleration of a particle whose position function is x(t)=…

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Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: 5) The position vector of a particle is given by s(t) = 2t2 – 4t + 1.Find the time at which the -…

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Q: What did you write for the wave equation at the beginning? is that the same as Schrodinger's Eq.?

A: We will clarify the confusion between wave equation and Schrodinger's Eq

Q: Suppose you are given a vector-valued function modelling the velocity of a particle in space. At…

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Q: A particle is moving along a curve so that its position at time t≥ 0 is given by (x(t),y(t)). dx At…

A: We have to answer given Questions.

Q: Q The position vector of a particle is given by s(t) = 3t² – 2t + 5.Find the time at which the…

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Q: d? -(A+B) at t = 1. di?

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Q: The position of a bug moving along the x-axis is given by x(t) = at +b, where a and b are both…

A: Please see the below answer.

Q: Sit/ If r(t) = cos(t-1) i + sin (t-1) jitzo Does the particle have constant speed? If so, what is…

A: given position vector is

Q: Let W, be a standard Brownian Motion. (a) What is P(W? < 4)? (b) What is E(f" dW,\W3 = 5)?

A: Given Wt be a standard Brownian Motion. E∫06dWs/W3=5

Q: 5. A particle moves in a linear motion along the x-axis. The function s(t) = t3-4t2 +3t-2 gives the…

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Q: 1. The acceleration of an object is a=2i+4j+6k.  Compute the position vector r(t) if the object at…

A: a=double derivative of position vector

Q: 4. Consider the motion of a particle as described by 1 1 r(t) = = t, Write the acceleration vector…

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