Question

While warming up at soccer practice, Ellie's teammate tosses the ball to Ellie. Ellie hits the ball upward with her head from a height of 1.6 meters at a velocity of 6 meters per second. The ball is in the air for some time until Ellie catches it at a height of 1 meter.

To the nearest tenth of a second, how long is the ball in the air before Ellie catches it?

Answer 1

The ball is in the air for approximately 0.6 seconds before Ellie catches it.

Step-by-step explanation:

To calculate the time the ball is in the air, we can use the equation:

t = (v_f - v_i) / a

where:

• t is the time
• v_f is the final velocity
• v_i is the initial velocity
• a is the acceleration

Since the ball is thrown upward, the acceleration is due to gravity and is approximately -9.8 m/s^2. The initial velocity is 6 m/s, and the final velocity is 0 m/s when Ellie catches the ball. Plugging in these values, we get:

t = (0 - 6) / (-9.8) = 0.61 s

So, to the nearest tenth of a second, the ball is in the air for approximately 0.6 seconds before Ellie catches it.