Mathematics: In the video, i drop a ball off a three-story balcony. we know that objects in freefall follow the equation for height h, inmeters, h = – 4.9t + c, where t is time in seconds, and is the initial height. a student timed the drop at 1.27seconds.use this to determine the height from which the ball was dropped, to at least 2 decimal places.

In the video, i drop a ball off a three-story

Ответ:

SumayahAminaAnsari

13.01.2022

Mathematics

The initial height from which the ball was dropped = 7.90 meters

Step-by-step explanation:

The correct question is:

In the video, I drop a ball off a three-story balcony. We know that objects in free fall follow the equation for height h, in meters, h = -4.9t^2 + c , where is time in seconds, and is the initial height. A student timed the drop at 1.27 seconds.

Use this to determine the height from which the ball was dropped, to at least 2 decimal places.

Solution:

The height of the free falling ball is represented by the equation as:

h=-4.9t^2+c where is time in seconds, and c is the initial height.

To determine the initial height from which the ball was dropped.

The drop was timed at 1.27 seconds, we will plugin t=1.27 in the given height function to find h(1.27)

h(1.27)=-4.9(1.27)^2+c

h(1.27)=-7.90+c

Since, the drop is timed at 1.27 seconds, so in the given time the ball will reach the ground, making h(1.27)=0

So, we have.

0=-7.90+c

Adding both sides by 7.90 to solve for .

0+7.90=-7.90+7.90+c

7.90=c

∴ $c=7.90\ m$

Thus, the initial height from which the ball was dropped = 7.90 meters

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