To calculate the total flight time of a ball thrown vertically upwards, you can use the kinematic equations of motion. The ball's initial velocity is 30 m/s, and it starts from an initial height of 1 meter.
First, we need to find the time it takes for the ball to reach its maximum height. When the ball reaches the highest point, its vertical velocity becomes zero.
The equation to find the time taken to reach the maximum height is:
t = (vf - vi) / a
Where:
- t is the time taken
- vf is the final velocity (0 m/s at the highest point)
- vi is the initial velocity (30 m/s)
- a is the acceleration due to gravity (-9.8 m/s², assuming no air resistance)
Using the equation:
t = (0 - 30) / (-9.8) t = 3.06 seconds (approx.)
Since the ball takes the same amount of time to reach the highest point as it takes to fall back down, the total flight time is twice the time taken to reach the maximum height:
Total flight time = 2 * t Total flight time = 2 * 3.06 Total flight time = 6.12 seconds (approx.)
Therefore, the total flight time of the ball is approximately 6.12 seconds.