Question

A soccer player kicks a ball with a velocity of 9 m/s and an initial angle 35°, and the ball starts and ends on the ground. How long was the ball in the air for?

Answer 1

The ball was in the air for approximately 0.918 seconds.

Step-by-step explanation:

To find how long the ball was in the air, we can use the horizontal motion of the ball. Since there is no horizontal acceleration, the time it takes for the ball to hit the ground is the same as the time it takes to reach the maximum height. We can use the vertical motion of the ball to find the time it takes to reach the maximum height.

Using the initial vertical velocity of 9 m/s and the angle of 35°, we can find the time it takes for the ball to reach the maximum height using the formula:

Time = (Vertical velocity) / (Acceleration due to gravity)

Substituting the values, we get:

Time = 9 m/s / (9.8 m/s^2)

So the time it takes for the ball to reach the maximum height is approximately 0.918 seconds. Since the time for the ball to reach the maximum height is the same as the time for it to hit the ground, the ball was in the air for approximately 0.918 seconds.