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Math Help - Phsyics application - Projectile motion question #2

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    Phsyics application - Projectile motion question #2

    A batter hits a baseball 3 ft above the ground toward the center filed fence, which is 9 ft high and 400 ft from home plate. The ball leaves the bat with speed 115 ft/s at an angle 50 above the horizontal. Is it a home run? (In other words, does the ball clear the fence?) Note: Use g = 32 ft/s2.
    Last edited by mr fantastic; September 18th 2009 at 08:30 AM.
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    Quote Originally Posted by purplerain View Post
    A batter hits a baseball 3 ft above the ground toward the center filed fence, which is 9 ft high and 400 ft from home plate. The ball leaves the bat with speed 115 ft/s at an angle 50 above the horizontal. Is it a home run? (In other words, does the ball clear the fence?) Note: Use g = 32 ft/s2.
     <br />
\Delta x = v_x \cdot t<br />

     <br />
400 = 115\cos(50) \cdot t<br />

    solve for t


     <br />
\Delta y = v_{0y}\cdot t - \frac{1}{2}gt^2<br />

     <br />
\Delta y = 115\sin(50) \cdot t - 16t^2<br />

    find \Delta y for the value of t found above ... then answer the question.
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