A place kicker attempts an extra point, giving the ball an initial velocity of 15 m/s at an angle of 37 degrees with respect to the horizontal field. The uprights are 15 meters from the point at which the ball is kicked and the horizontal bar is 4.0 meters above the ground.
$v_o = 15 \text{ m/s}$
$\theta_o = 37^\circ$
a.) How long does it take the ball to reach the plane of the uprights?
b.) What is the height of the ball at the uprights? Is the kick good?
c.) What is the maximum height reached by the ball?
d.) How far from the point from which the ball was kicked does the ball reach its maximum height?
e.) Make a simple plot of x vs. t, $v_x$ vs. t, y vs. t, $v_y$ vs. t, and $a_y$ vs. t