e ball 5 seconds later? (b) What is the velocity of the bell at this time?(c) Hov for does it travel during this time? (d) What is the displacement o the ball?

## Step 1: Determine the velocity of the ball<br />### The velocity of a free-falling object is determined by the equation \( v = gt \), where \( g \) is the acceleration due to gravity (9.8 m/s²) and \( t \) is the time of fall. Given \( t = 4.0 \) s, we calculate:<br />\[ v = 9.8 \, \text{m/s}^2 \times 4.0 \, \text{s} = 39.2 \, \text{m/s} \]<br /><br />## Step 2: Calculate the distance traveled by the ball<br />### The distance traveled by a free-falling object is given by the equation \( d = \frac{1}{2}gt^2 \). Substituting \( g = 9.8 \, \text{m/s}^2 \) and \( t = 4.0 \, \text{s} \), we get:<br />\[ d = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (4.0 \, \text{s})^2 = 78.4 \, \text{m} \]<br /><br />## Step 3: Determine the displacement of the ball<br />### Displacement is the change in position of an object. For a free-falling object, the displacement is equal to the distance it has fallen:<br />\[ \text{Displacement} = 78.4 \, \text{m} \]