Given 2 Sets of Data, Find 3rd (Velocity, Acceleration?)

AI Thread Summary
To determine the time it takes for an object to fall from 70 yards, the equations of motion can be applied, specifically h = h0 - v0t - (1/2)at^2. Given that falling 20 yards takes 6 seconds and 100 yards takes 9 seconds, these data points can help establish a relationship between height, time, and acceleration. The assumption is that the object starts with an initial speed and is accelerating due to gravity. By using the provided heights and times, one can calculate the acceleration and subsequently find the time for a 70-yard fall. This approach allows for a structured solution to the problem.
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Homework Statement


Falling 20 yards above the ground takes 6 seconds to reach the ground.

Falling 100 yards above the ground takes 9 seconds to reach the ground.

How long would it take to reach the ground from 70 yards?

Homework Equations


v=d/t ?I'm completely clueless. Any help with this would be greatly appreciated! Thank you.
 
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It's best to assume that body is accelerating at a with initial speed v_{0} and height h_{0}. Maybe some assumptions aren't true, but we don't know that before we try to solve the problem.

So, what you actually have is two equations of the form

h=h_{0}-v_{0}t-\frac{1}{2}at^{2}.

You are given the initial height and the time after which body falls on the ground (to the height h=0). That's all information you need.
 

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