Questions: Evan throws a ball up in the air. The graph below shows the height of the ball h in meters after t seconds. After how many seconds does the ball hit the ground?

Evan throws a ball up in the air. The graph below shows the height of the ball h in meters after t seconds. After how many seconds does the ball hit the ground?

Transcript text: Evan throws a ball up in the air. The graph below shows the height of the ball $h$ in meters after $t$ seconds. After how many seconds does the ball hit the ground?

Solution

Solution Steps

Step 1: Understand the Problem

The problem asks for the time it takes for the ball to hit the ground after being thrown up in the air. The graph shows the height of the ball $ h $ in meters as a function of time $ t $ in seconds.

Step 2: Identify Key Points on the Graph

From the graph, we can see that the ball hits the ground when the height $ h $ is 0. This occurs at two points: $ t = 0 $ seconds (when the ball is initially thrown) and $ t = 3 $ seconds (when the ball hits the ground again).

Step 3: Determine the Time When the Ball Hits the Ground

The ball hits the ground at $ t = 3 $ seconds after being thrown.