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A baseball is given an initial velocity with magnitude $v_0$ at an angle $\phi$ above the surface of an incline, which is in turn inclined at an angle $\theta$ above the horizontal (Fig. ) (a) Calculate the distance, measured along the incline, from the launch point to where the baseball strikes the incline. Your answer will be in terms of $v_0, 8, \theta$, and $\phi$. (b) What angle $\phi$ gives the maximum range, measured along the incline?

Solution

VerifiedWe list our givens:

$\begin{aligned} v_o\rightarrow&\text{initial velocity}\\ \gamma\rightarrow&\text{angle above the surface}\\ \theta=&\text{angle of the incline} \end{aligned}$

We need to find the horizontal distance measured along the incline and angle $\gamma$ that gives the maximum range.

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