Problem 4-11 - Free fall - Part 3 - (A)

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.

Continue.