At a baseball game the batter hits the ball straight up into the air at a speed of 38.0m/s Numeric Response 2.1.20 seconds after the batter hits the ball, it will be moving at a speed of underline ( )m/s (Record your answer in the numerical-response section on the answer sheet.)

Here's how to solve this problem:<br /><br />**Understanding the Problem**<br /><br />The baseball is subject to gravity, which causes it to decelerate as it rises. We need to calculate its speed after a specific time.<br /><br />**Relevant Equations**<br /><br />* v = u + at <br /><br />Where:<br />* v = final velocity (what we want to find)<br />* u = initial velocity (38.0 m/s)<br />* a = acceleration due to gravity (-9.81 m/s², negative since it acts downwards)<br />* t = time (2.1 seconds)<br /><br />**Calculations**<br /><br />1. Substitute the known values into the equation:<br /><br /> v = 38.0 m/s + (-9.81 m/s²)(2.1 s)<br /><br />2. Calculate:<br /><br /> v = 38.0 m/s - 20.601 m/s<br /><br /> v = 17.399 m/s<br /><br />3. Round to the appropriate number of significant figures (likely three, based on the given data):<br /><br /> v ≈ 17.4 m/s<br /><br />**Answer**<br /><br />The ball will be moving at a speed of approximately 17.4 m/s after 2.1 seconds. Therefore, you would fill in `17.4` on the numerical response section.<br />