Speed
* Initial Speed (v₀): This is the speed at which the body is thrown upward.
* Speed at the Highest Point: At the highest point of its trajectory, the body momentarily comes to rest. Its speed at this point is 0 m/s.
* Speed on the Way Down: As the body falls back down, its speed increases due to gravity. The speed at any point on the way down is equal in magnitude but opposite in direction to the speed it had at the same height on the way up.
Acceleration
* Constant Acceleration: Throughout the entire motion (both upward and downward), the body experiences a constant acceleration due to gravity. This acceleration is denoted by 'g' and is approximately 9.8 m/s² downwards.
* Direction of Acceleration: The acceleration due to gravity always acts downwards, even when the body is moving upwards. This is why the body slows down on its way up and speeds up on its way down.
Important Note:
* The time it takes for the body to reach its highest point is equal to the time it takes to fall back down to its starting point.
* The initial speed is equal in magnitude to the final speed just before the body hits the ground.
Key Equations
To calculate the speed and acceleration, you can use the following equations of motion:
* Final Velocity: v = v₀ + at (where 'v' is final velocity, 'a' is acceleration, and 't' is time)
* Displacement: s = v₀t + (1/2)at² (where 's' is displacement)
* Relationship between Velocity, Displacement, and Acceleration: v² = v₀² + 2as
Example:
Let's say a ball is thrown vertically upward with an initial speed of 20 m/s.
* At the highest point: The final velocity (v) is 0 m/s, and the acceleration (a) is -9.8 m/s². You can use the equations above to find the time it takes to reach the highest point and the height it reaches.
* On the way down: The acceleration remains -9.8 m/s², and the initial velocity (v₀) is 0 m/s at the highest point. You can use the equations to find the speed at any point on the way down and the time it takes to return to the ground.
Let me know if you would like a more detailed calculation or a specific example!
