Calculating the Distance and Velocity of a Thrown Object Using Kinematics

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Homework Help Overview

The discussion revolves around a kinematics problem involving a stone thrown vertically upward from a cliff. The problem asks for the time it takes to reach the bottom of the cliff, the speed just before impact, and the total distance traveled by the stone.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the initial speed of the stone and its trajectory, questioning how to determine the additional height reached above the cliff before descending. There are mentions of using energy principles and kinematics to find the maximum height and total distance traveled.

Discussion Status

Some participants are exploring different interpretations of the problem, particularly regarding the height of the cliff and the distance traveled by the stone. Guidance has been offered regarding the use of energy concepts and kinematics to approach the problem, but no consensus has been reached on the specifics of the calculations.

Contextual Notes

There is a discrepancy noted regarding the height of the cliff, with one participant mentioning "75 feet" instead of the stated "70.0 m." This may indicate a misunderstanding or miscommunication about the problem's parameters.

crimsonn
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I'd really appreciate help on another kinematics problem. This one is harder than the first.

1. A stone is thrown vertically upward with a speed of 12.0 m/s from the edge of a cliff 70.0 m high (Fig. 2–34). (a) How much later does it reach the bottom of the cliff? (b) What is its speed just before hitting? (c) What total distance did it travel?

Okay. I understand everything conceptually. The stone is thrown up at a speed, and during that time it travels a certain distance above the cliff over a period of time before the stone reaches its highest point at which it's velocity is zero. Then, the rock falls the added distance and the 75 feet with Earth's acceleration of 9.8 meters/ s^2

I just don't know how to figure out what that added distance is. It is some 75+ x

help please
 
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Not sure what your question is exactly. 75 feet? Doesn't your problem say 70m?

BTW, have you learned energy yet? If so, try equating potential and kinetic energy to find some useful information. That will help you with some of the parts.

For (c), total distance, if you know the other parts, you should be able to figure out how high the stone reaches above the cliff. You may use kinematics or energy. If you know how high it went, you know that it traveled up and down that height, then the additional 70m to the cliff bottom.
 
crimsonn said:
I'd really appreciate help on another kinematics problem. This one is harder than the first.

1. A stone is thrown vertically upward with a speed of 12.0 m/s from the edge of a cliff 70.0 m high (Fig. 2–34). (a) How much later does it reach the bottom of the cliff? (b) What is its speed just before hitting? (c) What total distance did it travel?

Okay. I understand everything conceptually. The stone is thrown up at a speed, and during that time it travels a certain distance above the cliff over a period of time before the stone reaches its highest point at which it's velocity is zero. Then, the rock falls the added distance and the 75 feet with Earth's acceleration of 9.8 meters/ s^2

I just don't know how to figure out what that added distance is. It is some 75+ x

help please

What is the maximum height when V = 0 ? Then add that to the height of the cliff.
 
It would be x + 70.0m. Not sure where "75 feet" is coming from.
 

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