Question

8 an object starts from rest and falls freely. what is the velocity of the object at the end of 4.0 seconds?

Explanation:

Step1: Identify the formula

The formula for the final velocity \(v\) of an object in free - fall is \(v = v_0+gt\), where \(v_0\) is the initial velocity, \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)), and \(t\) is the time.
Since the object starts from rest, \(v_0 = 0\ m/s\).

Step2: Substitute the values into the formula

Substitute \(v_0 = 0\ m/s\), \(g = 9.8\ m/s^{2}\), and \(t = 4.0\ s\) into the formula \(v=v_0 + gt\).
We get \(v=0+9.8\times4.0\).

Step3: Calculate the result

\(v = 9.8\times4.0=39.2\ m/s\)

Answer:

\(39.2\ m/s\)