Understanding the Physics

* Vertical motion: The ball's vertical motion is governed by gravity. Since it's thrown horizontally, its initial vertical velocity is 0 m/s.

* Horizontal motion: The horizontal velocity (2.0 m/s) remains constant because we're neglecting air resistance.

Calculations

1. Vertical Motion:

* Use the following kinematic equation:

* d = v₀t + (1/2)at²

* where:

* d = vertical distance (4.9 m)

* v₀ = initial vertical velocity (0 m/s)

* a = acceleration due to gravity (9.8 m/s²)

* t = time

* Plug in the values:

* 4.9 m = (0 m/s)t + (1/2)(9.8 m/s²)t²

* 4.9 m = 4.9t²

* Solve for t:

* t² = 1

* t = 1 second

Answer: It takes the ball 1 second to reach the ground.