A stone is thrown with an initial velocity of 36ft/s from the edge of a bridge that is 49 ft above the ground. The height of this stone above the ground t seconds after it is thrown is f(t)=-16t^2+36t+49 If a second stone is thrown from the ground, then its height above the ground after t seconds is given by g(t)=-16t^2+v_(0)t where v_(0) is the initial velocity of the second stone Determine the value of v_(0) such that the two stones reach the same maximum height. When an object that is thrown upwards reaches its highest point (just before it starts to fall back to the ground), its square will be zero. Therefore to find the maximum height of the object thrown from the bridge,use the square equation, square

Which of these statements is most likely correct about a weak nuclear force? (2 points) It binds electrons and protons. It is a repulsive force. It is an attractive force. It binds protons and neutrons.

Which side of the electromagnetic spectrum has shorter waveiengths? $\square $ Which side of the electromagnetic spectrum has higher energy? $\square $ Which side of the electromagnetic spectrum has higher frequencies? $\square $ blue

Outdoors, shadows are longest at what time of day? Midnight Sunrise and sunset Noon 10 a.m.

Which of the following describe the expansion coefficients for a general state? $a_{n}=\langle \psi _{n}\vert \psi \rangle =\int _{-\infty }^{\infty }dx\psi _{n}^{\ast }(x)\psi (x)$ $a_{n}=(\sum _{n}\vert \psi _{n}\rangle )\vert \psi \rangle $ $a_{n}=\langle \psi _{n}\vert \psi \rangle ^{\ast }=\int _{-\infty }^{\infty }dx\psi _{n}(x)\psi ^{\ast }(x)$ $a_{n}=\langle \psi _{n}\vert \psi _{m}\rangle =\int _{-\infty }^{\infty }dx\psi _{n}^{\ast }(x)\psi _{m}(x)$

A certain wave function is given by $\psi (x)=\{ \begin{matrix} A&for-a\leqslant x\leqslant a\\ 0&otherwise\end{matrix} $ Which of the following corresponds to the Fourier transform for this wave function? A sum of spherical harmonics. A sum of sines and cosines. A sum of Hankel functions. The Dirac delta function.

8> What is the random capture theory? Which theory best explains how our solar system was created?

Match each statement to the wave interaction it describes. \begin{array}{|l|l|} \hline\ reflection\ &\ Waves\ bounce\ off\ an\ object.\ \\ \hline\ absorption\ &\ Waves\ are\ taken\ in\ by\ an\ object.\ \\ \hline\ transmission\ &\ Waves\ bend\ while\ passing\ from\ one\ medium\ to\ another.\ \\ \hline\ diffraction\ &\ Waves\ scatter\ through\ an\ opening\ or\ around\ an\ object.\ \\ \hline\ retraction\ &\ Waves\ go\ through\ an\ object.\ \\ \hline \end{array}

A wave function can be expanded in basis states as $\vert \psi \rangle =\sum _{n}a_{n}\vert \psi _{n}\rangle $ What must be true of the expansion coefficients? $\sum _{n}\vert a_{n}\vert ^{2}=1$ They must be real numbers. There is no restrictions on the coefficients. $\sum _{n}a_{n}=1$

Which of the following expressions correspond to the energy-time uncertainty principle? $\Delta E\Delta t\geqslant 2\bar {h}$ $\Delta E\Delta t\geqslant \hat {h}$ $\Delta E\Delta t\geqslant \frac {h}{2}$ $\Delta \omega \Delta t\geqslant \bar {h}$

Consider the following force: A fridge magnet is pulling on a paper clip. According to Newton's third law what other force must be happening? The paper clip is pushing on the fridge magnet. The paper clip is pulling on the fridge magnet.