In an experiment a ball is thrown straight upward using nitrogen in a bottle all

Question

In an experiment a ball is thrown straight upward using nitrogen in a bottle all in a pole with an initial velocity, 4 times are recorded for the time it took the ball to hit the ground. Use g = 9.80 m/s2 and show all work.

The timers measured the time from the bang until the ball hit the ground. The four times are: 6.56 s, 6.53 s, 6.50 s, 6.09 s.
1. From the included data, calculate the average time of flight.
2. Calculate an approximate initial velocity for the ball.
3. Calculate an approximate maximum height for the ball.
4. What assumptions were made in the previous two calculations that make these results approximate and not exact?

Explanation / Answer

In an experiment a ball is thrown straight upward using nitrogen in a bottle all in a pole with an initial velocity, 4 times are recorded for the time it took the ball to hit the ground. Use g = 9.80 m/s2 and show all work. The timers measured the time from the bang until the ball hit the ground. The four times are: 6.56 s, 6.53 s, 6.50 s, 6.09 s. 1. From the included data, calculate the average time of flight. [6.56+6.53+6.50+6.09]/4=6.42sec 2. Calculate an approximate initial velocity for the ball. 2*initial velocity/g=6.42sec so the initial velocity=6.42*9.8/2=31.45m/sec 3. Calculate an approximate maximum height for the ball. maximum height=31.45*31.45/2*9.8=50.46m 4. What assumptions were made in the previous two calculations that make these results approximate and not exact? there is no air resistance

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