# Math Help - Phsyics application - Projectile motion question #2

1. ## 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.

2. Originally Posted by purplerain
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.
$
\Delta x = v_x \cdot t
$

$
400 = 115\cos(50) \cdot t
$

solve for $t$

$
\Delta y = v_{0y}\cdot t - \frac{1}{2}gt^2
$

$
\Delta y = 115\sin(50) \cdot t - 16t^2
$

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