Calculating Time for Ball to Reach Fence Plane

In summary, the formula for calculating the time it takes for a ball to reach a fence plane is t = √(2d/g), where t is the time in seconds, d is the distance to the fence plane in meters, and g is the acceleration due to gravity (9.8 m/s²). The height of the fence plane does not affect the time calculation as long as the ball reaches the plane. The formula uses seconds (s) as the unit of measurement. It can be used for any object with a constant acceleration due to gravity, but may not be accurate for objects with air resistance or other external forces. The calculation is accurate as long as the ball's motion is affected only by gravity and assumes a flat and
  • #1
Beanie
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Homework Statement


Determine the time it takes for the ball tor each the plane of the fence. Answer in units of s.

(VIEW IMAGE ATTACHED)

Homework Equations


Vf+vi+at
d=vit+.5at^2
vf^2=vi^2+2ad

The Attempt at a Solution


[/B]
I found Vix to be 11.59 using trig. I then used the second equation to find time as 1.725. However, this answer wasn't correct.

What am I doing wrong? Any suggestions on different ways to do this?
 

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  • #2
Kind of hard to say what you are doing wrong since you didn't post any work. Also, your picture is upside down.
 

What is the formula for calculating the time it takes for a ball to reach a fence plane?

The formula for calculating the time it takes for a ball to reach a fence plane is t = √(2d/g), where t is the time in seconds, d is the distance to the fence plane in meters, and g is the acceleration due to gravity (9.8 m/s²).

How does the height of the fence plane affect the time calculation?

The height of the fence plane does not affect the time calculation as long as the ball reaches the plane. The formula for calculating time only takes into account the distance to the fence plane, not the height.

What is the unit of measurement for the time calculation?

The unit of measurement for the time calculation is seconds (s).

Can this formula be used for objects other than a ball?

Yes, this formula can be used for any object with a constant acceleration due to gravity. However, it may not be accurate for objects with air resistance or other external forces affecting its motion.

How accurate is this calculation?

This calculation is accurate as long as the ball's motion can be described using a constant acceleration due to gravity. Factors such as air resistance, wind, and friction may affect the accuracy of the calculation. Additionally, the calculation assumes a flat and uniform surface.

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