Question

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 final velocity \(v\) 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.

Step2: Substitute the values

Given \(v_0 = 0\ m/s\) (starts from rest), \(g = 9.8\ m/s^{2}\), and \(t = 4.0\ s\).
Substitute into the formula: \(v=0 + 9.8\times4.0\).

Step3: Calculate the result

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

Answer:

\(39.2\ m/s\)