Problem 4-11 - Free fall - Part 6 - (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

\(v = v_0 + at\)

B coordiantes

\(v_x = v_{0x} + a_xt \\ v_y = v_{0y} + a_yt \\ a_x = 0 \\ a_y = g \\ v_x = v_{0x} \\ v_y = v_{0y} + 9.8t\)

Correct.

The components of \(v\) are:

Solution \(v_x\) \(v_y\)
(A) \(24 \cos45\) \(24 \sin45\)
(B) \(24 \sin45\) \(24 \cos45\)
(C) \(24 \cos45\) \(-24 \sin45\)
(D) \(24 \sin45\) \(24 \sin45\)