I just need ideas on how i can estimate the height of a building by using only a tennis ball and a stop watch. I can only measure it by being on the ground level.
Can you throw the ball up as high as the roof? If so, time the ball from the top of the arc to when it hits ground
h=1/2 g t^2
A tennis ball of mass m = 0.058 kg and speed v = 26 m/s strikes a wall at a 45^\circ angle and rebounds with the same speed at 45^\circ .
What is the magnitude of the impulse given to the ball?
To estimate the height of a building using only a tennis ball and a stopwatch while being on the ground level, you can use a simple technique known as the "dropped object method." Here's how you can do it:
1. Find a safe spot directly beneath the building where you can stand comfortably.
2. Hold the tennis ball at arm's length (shoulder height) and slightly above your head.
3. Use the stopwatch to time how long it takes for the tennis ball to fall from your hand to the ground. Make sure to start the stopwatch as soon as you release the ball.
4. Record the time it took for the tennis ball to fall.
Now comes the calculation part. To estimate the height of the building, you need to take into account the equation of motion for a falling object:
h = (1/2)gt^2
Where:
h = height of the building
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time taken for the tennis ball to fall (in seconds)
To solve for h, you need to rearrange the equation:
h = (1/2)gt^2
Remember to keep all units consistent (e.g., if your time is in seconds, use meters for height, and meters per second squared for acceleration due to gravity).
Please note that this method provides an estimate and may not provide an exact height due to potential variations and uncertainties in the measurements.