Finding how long it will take the ball to reach 20m

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In summary, the group is discussing a problem involving a pitch that was thrown at 160km/h and how far the ball would fall vertically by the time it reached home plate, which is 20m away. The conversation also mentions using average acceleration and calculating the time using the formula t=d*average velocity. However, there is a discrepancy in the calculation due to incorrect conversion of units.
  • #1
max1020
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1. The problem is the pitch was clocked at 160km/h and if a pitch were thrown horizontally with this velocity how far would the ball fall vertically by the time it reached home plate 20m away?



2. I used the average acceleration



3. t=d*average velocity
t= 20m * 160km/h
Convert 160km to m and then I got 20000 but it wrong bc the answer is 9.9 x 10^-1
 
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  • #2
max1020 said:
1. The problem is the pitch was clocked at 160km/h and if a pitch were thrown horizontally with this velocity how far would the ball fall vertically by the time it reached home plate 20m away?



2. I used the average acceleration



3. t=d*average velocity
t= 20m * 160km/h
Convert 160km to m and then I got 20000 but it wrong bc the answer is 9.9 x 10^-1


It's good to use units as a sanity check of your calculations. Check the units on this calculation of yours, and then think about how you can re-arrange the equation to make the units work out...

"t= 20m * 160km/h"
 

1. How do you calculate the time it takes for a ball to reach 20m?

The time it takes for a ball to reach 20m can be calculated using the formula t = √(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity.

2. What units should be used for the height and acceleration in the formula?

The height should be in meters (m) and the acceleration should be in meters per second squared (m/s^2).

3. Can this formula be used for any object, or just for a ball?

This formula can be used for any object that is dropped or thrown vertically, as long as it is not affected by air resistance.

4. What if the ball is thrown at an angle instead of being dropped vertically?

If the ball is thrown at an angle, the formula t = √(2h/g) will not give an accurate result. Instead, the formula t = (2v*sinθ)/g can be used, where v is the initial velocity and θ is the angle of projection.

5. How accurate is this formula in predicting the time for a ball to reach 20m?

This formula gives an approximate time and is based on the assumption that there is no air resistance and the acceleration due to gravity is constant. Factors such as air resistance and varying acceleration due to gravity may affect the actual time.

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