QUESTION

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(1 point) The following shows a mechanism consisting of two arms $A C$ and $B C$ each of length $79 \mathrm{~cm}$ connected by a joint at $C$. Point $A$ is fixed at the origin and point $B$ moves horizontally along the $\boldsymbol{x}$-axis. Let $(x, y)$ (in $\mathrm{cm}$ ) be the coordinates of $C$ and $b$ (in $\mathrm{cm}$ ) be the distance between $A$ and $B$. a. Enter an equation (with an equal sign) that relates $x$ and $b$. Do not round any coefficient. b. Enter an equation (with an equal sign) that relates $y$ and $b$. Do not round any coefficient. c. It is given that $B$ is moving towards $A$ at a speed of $6.4 \mathrm{~cm} / \mathrm{s}$ at the instant when it is $110.7 \mathrm{~cm}$ from $A$. Find the horizontal and the vertical velocities of $C$ at this instant. Round your answers to at least 3 significant figures and include the units. $C$ is moving ? $A$ at a rate of in the horizontal direction and ? at a rate of in the vertical direction. d. How fast is the arm $A C$ rotating about $A$ at that instant (from part (c))? Round your answers to at least 3 significant figures and include the unit. $A C$ is rotating ? about $A$ at a rate of

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