Question

If a soccer player kicks the ball straight up into the air with a velocity of 95 km/h, how

high in the air will the ball go? Give your answer in meters.

Answer 1

The ball will reach a height of approximately 35.3 meters.

Step-by-step explanation:

To determine the height the ball will reach, we can use the principles of projectile motion. Since the ball is kicked straight up into the air, it will follow a parabolic trajectory. The maximum height reached by the ball can be calculated using the equation:

h = (v^2 sin^2θ) / (2g)

where:

• h is the maximum height
• v is the initial velocity of the ball (95 km/h = 26.4 m/s)
• θ is the angle of launch (in this case 90°)
• g is the acceleration due to gravity (9.8 m/s^2)

Substituting the values into the equation:

h = (26.4^2 sin^2(90°)) / (2 * 9.8) = 35.3 m

Therefore, the ball will reach a height of approximately 35.3 meters.