Calculating the Distance and Velocity of a Thrown Object Using Kinematics

In summary, the conversation is about a kinematics problem involving a stone being thrown vertically upward from the edge of a cliff with a speed of 12.0 m/s. The problem asks for the time it takes for the stone to reach the bottom of the cliff, its speed just before hitting, and the total distance it travels. The conversation also discusses using energy equations to solve the problem and clarifies that the height of the cliff is 70.0 m. The conversation concludes with a suggestion to find the maximum height and add it to the height of the cliff to find the total distance traveled.
  • #1
crimsonn
30
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
It would be x + 70.0m. Not sure where "75 feet" is coming from.
 

FAQ: Calculating the Distance and Velocity of a Thrown Object Using Kinematics

What is kinematics?

Kinematics is a branch of physics that studies the motion of objects without considering the forces that cause them to move.

What is a kinematics problem?

A kinematics problem is a physics problem that involves analyzing the motion of an object, often using equations and principles from kinematics.

How do you solve a kinematics problem?

To solve a kinematics problem, you need to identify the known and unknown variables, choose an appropriate kinematic equation, and use algebra to solve for the unknown variable.

What are the most common types of kinematics problems?

The most common types of kinematics problems include finding the displacement, velocity, and acceleration of an object, as well as solving for the time it takes for an object to travel a certain distance.

What are some real-world applications of kinematics?

Kinematics has many real-world applications, such as in engineering, sports, and transportation. It is used to design and analyze the motion of machines, athletes, and vehicles, among other things.

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