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

\(v = v_0 + at\)

\(v_x = v_{0x} + a_{x^t} \\ v_y = v_{0y} + a_{y^t} \\ a_x = 0\)

Correct.

There is no acceleration in the \(x\) direction and the equation becomes:

\(v_x = v_{0x}\)  a constant

What is the acceleration in the \(y\) direction in our chosen coordinate system?

(A)   \(9.8\; m/s^2\)

(B)   \(-9.8\; m/s^2\)

(C)   \(0\)