Problem 4-21-Projectile - Part 7 - B
A football is placed on a line \(25\; m\) from the goalpost. The placement kicker kicks the ball directly toward the goalpost, giving it a velocity of \(21.0\; m/s\) at an angle of \(47.0^\circ\) above the horizontal. The horizontal bar of the goalpost is \(3.0\; m\) above the field. How far above or below the horizontal bar of the goalpost will the ball travel?
Accumulated Solution
\(v_{0_x}= 21 \cos 47 = (21) \cos47 = 14.32 \;m/s \\ v_{0_y}= 21 \sin 47 = (21) \sin47 = 15.36 \;m/s \\ x = v_{x^t} \\\; t = x/v_x = 25 \;m/14.32 \;m/s = 1.75\; s\)
\(v = v_0 + at \\ s = v_{0^t} + (1/2)at^2 \\ v^2 = v_{0^2} +2as\)
Correct.
Before continuing calculate the displacement in the \(y\) direction after \(1.75\; s\)