(a)Take the integral from -2 to 2 of (2x +3)delta(3x)dx.

(b) Take the integral from 0 to 5 of cosxdelta(x - pie)dx.

(c) Take the integral from -1 to 1 of 9x^2 delta*(3x + 1)dx.

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Casey DurganLv2

11 Jul 2019

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Problem 11.6 estimates the time delta t for collapse of a classical hydrogen atom, making the approximation that it shrinks at a constant rate. Calculate delta without making that approximation, as follows: Use dr/dt = dr/dE*dE/dt to find dr/dt, the rate at which the orbit shrinks, as a function of r, and find the time for this classical atom to collapse entirely, by evaluating delta t = integral from ab (Bohr's radius 5.29 ^(-11) [m]) to 0 (dr/{dt/dr}).

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A soccer player kicks a rock horizontally off a 39.4 m high cliffinto a pool of water. If the player hears the sound of the splash3.04 s later, what was the initial speed given to the rock? Assumethe speed of sound in air to be 343 m/s.

What I have done:

v((2 * delta y)/a) so v((2*39.4)/(9.8)) Ë tË2.84s

3.04 - 2.84 = 0.20s

343 * 0.20 gives me a resultant vector of 68.6m

resultant2 - delta y2 = delta x2

so 68.62 - 39.42 =delta x2

so delta x2 = 3153.6

therefore delta x = 56.156 Ë 56.2m

delta x = initial velocity * t + (1/2)(a)(t2 )

so 56.2 = initial velocity (2.84) +(1/2)(9.8)(2.842)

when I work this out I get an initial velocity of 5.88m/s, andthe homework website says it is incorrect...where am I goingwrong?