Answer:
The height of the platform is 5.929 meters
Explanation:
- Free fall means that an object is falling freely with no forces acting on
it except gravity
- The height of the object is the distance from the point which the
object falls from it to the ground
The steps to solve the problem
1. Determine the acceleration of gravity
2. Decide whether the object has an initial velocity or not
3. Determine how long the object is falling
4. Calculate the height that the object falls from it
⇒ The gravitational acceleration g = 9.8 m/s²
The ball at rest falls from a platform above the ground
⇒ Initial velocity u = 0
The ball falls freely and hits the ground 1.1 s later
⇒ The time t = 1.1 s
We need to find the height (h) of the platform
The equation of the motion is h = u t + 1/2 g t²
⇒ h = u t + 1/2 g t²
⇒ u = 0 , t = 1.1 s , g = 9.8 m/s²
Substitute these values in the equation above
⇒ h = 0 + 1/2(9.8)(1.1)²
⇒ h = 5.929
The height of the platform is 5.929 meters
The height of the platform is 9.929 meters.
Given the following data:
We know that acceleration due to gravity (a) of an object in free fall is equal to 9.8 meter per seconds square.
To find the height of the platform, we would use the following formula;
[tex]H = \frac{1}{2}gt^2[/tex]
Substituting the parameters into the formula, we have;
[tex]H = \frac{1}{2}(9.8)(1.1^2)\\\\H = 4.9(1.21)[/tex]
[tex]H = 4.9[/tex] × [tex]1.21[/tex]
Height, H = 9.929 meters.
Therefore, the height of the platform is 9.929 meters.
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