Macmillan Learning ho = You attach a meter stick to an oak...

Macmillan Learning ho = You attach a meter stick to an oak tree, such that the top of the meter stick is 2.27 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.126 seconds to pass the length of the meter stick, how high $h_o$ above the ground was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down? m

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00:04 This problem, the information that we are given from this is that the height of this stick is 2 .27 and then it takes a time that is also given and that time is equal to 0 .241 seconds.

00:32 And now with that said, the distance as that it should travel is one meter.

00:49 So let's say that the distance adds is one meter because we are told that this is to pass the length of the meter stick.

00:59 Now with that said, what we are going to do is to calculate the initial speed for this.

01:07 So we know that the distance adds is covered, and the disk cover is equal to the initial speed that we're going to call you.

01:18 This plus the time, this plus 1 divided by 2 times the acceleration due to gravity, times the time squared.

01:26 So what we need to do now is to just simply solve for the initial speed.

01:31 So that will be s minus 1 divided by 2 times acceleration due to gravity times the time square and this divided by the time.

01:41 And now we substitute the values in here.

01:46 So we will obtain that initial speed is 1 meter minus 1 divided by 2 times acceleration due to gravity.

01:53 That is 9 .8 meters per second square.

01:56 The time that we are given, which is 0 .241.

02:01 And that to the square, this divided by the time, which is equal to 0 .241.

02:11 So using our calculator, we obtain a value of...

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