Question

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: 51 52 53 54 55 56 57 moving to another question will save this response. question 35 of 57 question 35 2 points save answer (problem reference m.3) a ball is shot straight up from the surface of the earth with an initial speed of 19.6 m/s. neglect any effects due to air resistance. how much time does it take the ball to reach its maximum height? 4.0 s 1.5 s 2.0 s 1.0 s 2.4 s

Explanation:

Step1: Use the kinematic equation

The kinematic equation \(v = v_0+at\) is used. At maximum height, the final velocity \(v = 0\). The acceleration \(a=-g=- 9.8\ m/s^{2}\) (negative because it acts against the motion), and the initial velocity \(v_0 = 19.6\ m/s\).

Step2: Solve for time \(t\)

Substitute the values into the equation \(0 = 19.6-9.8t\).

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Answer:

\(2.0\ s\) (the third option in the given choices)