How to Calculate Height of a Cliff Based on Falling Object Time?

In summary: Donald Luttermoser of East Tennessee State University for clarifying the relationship between gravity and time for finding the height of a cliff when a stone is dropped from the top. In summary, to solve this problem, we can use the equation x = 1/2 a t^2, where a is the acceleration due to gravity (9.8m/s^2) and t is the time it takes for the stone to hit the ground (3.25s). This will give us the height of the cliff.
  • #1
ldbaseball16
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Greg Bernhardt said:
Author: Dr. Donald Luttermoser of East Tennessee State University

i have a quetion for you Dr., I know this is a simple problem but my physics book is not very clear on how to figure out this answer to the question. "A stone dropped from the top of a cliff. it hits the ground below after 3.25s. how high is the Cliff?"
*to figure this out do you not use this equation? V^2 =Vo^2+ 2a(X-Xo)* a=9.8m/s, V=3.25s, initial V=0, X=?
 
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  • #2


ldbaseball16 said:
i have a quetion for you Dr., I know this is a simple problem but my physics book is not very clear on how to figure out this answer to the question. "A stone dropped from the top of a cliff. it hits the ground below after 3.25s. how high is the Cliff?"
*to figure this out do you not use this equation? V^2 =Vo^2+ 2a(X-Xo)* a=9.8m/s, V=3.25s, initial V=0, X=?

I might point out a couple of things. First the post you have tagged is 3 years old. And it it a tutorial about kinematics in 1 dimension.

Second the problem you related suggests that the time to the bottom of the cliff is 3.25 seconds. This would not be a good thing to substitute directly as Velocity.

If you know gravity (9.8 m/s2) and you know time then the correct relationship would be x = 1/2 a t2
 
  • #3
thank you DR
 

FAQ: How to Calculate Height of a Cliff Based on Falling Object Time?

What is motion in one dimension?

Motion in one dimension refers to the movement of an object along a straight line, such as a car driving on a straight road or a ball rolling down a ramp. It is also known as linear motion.

What are the key components of motion in one dimension?

The key components of motion in one dimension are displacement, velocity, and acceleration. Displacement is the change in position of an object, velocity is the rate of change of displacement, and acceleration is the rate of change of velocity.

How is motion in one dimension represented graphically?

Motion in one dimension can be represented graphically using a position-time graph, which shows the change in an object's position over time. Alternatively, a velocity-time graph can also be used, which shows the change in an object's velocity over time.

What is the difference between average and instantaneous velocity?

Average velocity is the total displacement of an object divided by the total time taken, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity gives an overall picture of an object's motion, while instantaneous velocity provides information about its motion at a specific point in time.

How does acceleration affect an object's motion in one dimension?

Acceleration is the rate of change of an object's velocity. If an object has a constant acceleration, its velocity will change by the same amount in each unit of time. This can result in either a constant increase or decrease in speed, or a change in direction of motion. If an object has zero acceleration, it will maintain a constant velocity.

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