Question

description the midterm exam covers material from chapters 1 - 5. instructions from the list of choices, select the one best answer. multiple attempts not allowed. this test can only be taken once. force completion this test can be saved and resumed later. your answers are saved automatically. question completion status question 31 of 57 moving to another question will save this response. question 31 a rock is dropped from the top of a cliff and strikes the ground 2.30 seconds later. how fast is the rock traveling when it strikes the ground? 11.3 m/s 25.9 m/s 19.6 m/s 22.5 m/s 14.3 m/s

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 rock is dropped, \(v_0=0\ m/s\).

Step2: Substitute the values

Substitute \(v_0 = 0\ m/s\), \(g = 9.8\ m/s^{2}\), and \(t = 2.30\ s\) into the formula \(v=v_0 + gt\). So \(v=0+9.8\times2.30\).

Step3: Calculate the result

\(v = 9.8\times2.30=22.54\approx22.5\ m/s\)

Answer:

22.5 m/s