Problem 4-11 - Free fall - Part 3 - (C)
A ball is thrown from a balloon with an initial unknown velocity. The ball accelerates at \(9.80\;m/s^2\) downward for \(2.00\; s\), at which time its instantaneous velocity is \(24.0\; m/s\) at an angle of \(45.0^\circ\) below the horizontal. Determine the magnitude and direction of the initial velocity.
Accumulated Solution
\(v = v_0 + at\)
Correct.
Actually we can choose among these. (C) is least desirable since the direction of \(x\) is counter-intuitive. We will choose (B) so that \(g\) act in the positive \(y\) direction.
Before continuing, write the first Galilean equation in \(x, y\) components in our chosen coordinate system.