Answer:
the maximum height above the ground that the object reaches is approximately 2.204 meters.
Step-by-step explanation:
1. Identify the key values given in the problem:
- Initial height above the ground (h): 2.0 meters
- Initial velocity upwards (v₀): 2.0 m/s
2. Determine the maximum height using the formula for projectile motion:
- The maximum height (h_max) can be found using the formula: h_max = h + (v₀^2 / (2g))
- In this formula, g represents the acceleration due to gravity, which is approximately 9.8 m/s² on Earth.
3. Substitute the given values into the formula:
- h_max = 2.0 + (2.0^2 / (2 * 9.8))
4. Simplify the equation:
- h_max = 2.0 + (4.0 / 19.6)
- h_max = 2.0 + 0.204
5. Calculate the final answer:
- h_max = 2.204 meters (rounded to three decimal places)