Understanding the Physics
* Gravity: The primary force acting on the ball is gravity, which pulls it downwards at a constant acceleration of approximately 9.8 m/s².
* Vertical Motion: The ball's motion is purely vertical (up and down).
* Initial Velocity: The ball starts with an upward velocity of 10 m/s.
Key Concepts
* Kinematic Equations: We can use the following equations to describe the ball's motion:
* *v* = *u* + *at* (where *v* is final velocity, *u* is initial velocity, *a* is acceleration, and *t* is time)
* *s* = *ut* + (1/2)*at² (where *s* is displacement)
Let's answer some questions you might have:
* How high does the ball go?
* At the highest point, the ball's final velocity (*v*) will be 0 m/s.
* Using the equation *v*² = *u*² + 2*a*s, we can solve for *s* (the maximum height).
* 0² = 10² + 2(-9.8)*s
* s ≈ 5.1 meters
* How long does it take to reach the highest point?
* Using the equation *v* = *u* + *at*, we can solve for *t*.
* 0 = 10 + (-9.8)*t
* t ≈ 1.02 seconds
* How long does it take for the ball to come back down?
* The time it takes to go up is equal to the time it takes to come down (ignoring air resistance). So, the total time in the air is about 2.04 seconds.
Important Note: This analysis assumes there is no air resistance. In reality, air resistance would slow the ball down, making the actual height and time slightly less.
