6 An object is thrown vertically upward with an initial velocity of 9.81 meters per second . What is the maximum height reached by the object? [Neglect friction.] (1) 1.00 m (3) 9.81 m (2) 4.91 m (4) 19.6 m

To solve this problem, we can use the **kinematic equation** for vertical motion under constant acceleration due to gravity: Where:- is the final velocity (at the maximum height, ),- is the initial velocity ( ),- is the acceleration ( , since gravity acts downward),- is the displacement or height.### Step 1: Substitute known values into the equationAt maximum height, . The equation becomes: Simplify: ### Step 2: Solve for Rearrange the equation to isolate : ### Final Answer:The maximum height reached by the object is: Correct choice: **(2) 4.91 m**