Understanding the Physics
* Acceleration due to gravity: The object experiences a constant downward acceleration due to gravity (approximately 9.8 m/s²). This means its upward velocity decreases by 9.8 m/s every second.
* Peak of the path: At the peak, the object's upward velocity momentarily becomes zero.
Calculations
1. Final velocity: The final velocity (v) at the peak is 0 m/s.
2. Initial velocity: The initial velocity (u) is 50 m/s.
3. Acceleration: The acceleration (a) is -9.8 m/s² (negative because it acts downward).
4. Time: We need to find the time (t).
Using the appropriate kinematic equation:
We can use the following equation of motion:
v = u + at
Solving for time (t):
* 0 = 50 + (-9.8)t
* 9.8t = 50
* t = 50 / 9.8
* t ≈ 5.1 seconds
Therefore, it takes approximately 5.1 seconds for the object to reach the peak of its path.
