How do you find how far an object will go?

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Homework Help Overview

The discussion revolves around a projectile motion problem where a projectile is launched from a cliff 172.0 m high with an initial speed of 66.00 m/s at an angle of 68.00° to the horizontal. Participants are exploring how to determine the range of the projectile, particularly since it does not return to the original height.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss calculating the time to reach maximum height and the total time of flight to determine the range. There are questions about the validity of using standard range equations due to the cliff's height. Some participants inquire about the calculations of time and maximum height, seeking clarification on the equations used.

Discussion Status

The discussion is active, with participants sharing their reasoning and calculations. Some guidance has been offered regarding the approach to finding the time of flight and the horizontal distance, but there is no clear consensus on the next steps or the equations to apply.

Contextual Notes

Participants mention that certain values, such as the time of flight and maximum height, were provided, raising questions about the source of these values and the relevant equations for projectile motion under gravity.

angiep410
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A projectile is shot from the edge of a cliff 172.0 m above the ground level with an initial speed of 66.00 m/s at an angle of 68.00 ° with the horizontal.
What is the range X of the projectile as measured from the base of the cliff?

I would normally use a range equation, but I didn't think that would work here since the object is not coming back to the starting height.
 
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For this, you can calculate the time required to reach its maximum height in the projectile. Moreover, after you have done this, you can calculate the time required to reach its minimum point from its maximum. Adding these two times will give you the time for the entire route. You can then apply this time in the horiztonal direction as its velocity.
 
sandy.bridge said:
For this, you can calculate the time required to reach its maximum height in the projectile. Moreover, after you have done this, you can calculate the time required to reach its minimum point from its maximum. Adding these two times will give you the time for the entire route. You can then apply this time in the horiztonal direction as its velocity.

the time it takes for the object to hit the ground is 14.8 seconds and the maximum height is 191 m. Now what do I do?
 
angiep410 said:
A projectile is shot from the edge of a cliff 172.0 m above the ground level with an initial speed of 66.00 m/s at an angle of 68.00 ° with the horizontal.
What is the range X of the projectile as measured from the base of the cliff?

I would normally use a range equation, but I didn't think that would work here since the object is not coming back to the starting height.

angiep410 said:
the time it takes for the object to hit the ground is 14.8 seconds and the maximum height is 191 m. Now what do I do?

How did you calculate those numbers? What equations did you use? If you show us your work, it would be easier to help you.
 
they were given to me
 
angiep410 said:
they were given to me

Part of the Homework Help Template that you were provided when you started this thread (and you deleted) asks for the Relevant Equations. What are the Relevant Equations for motion under the influence of a constant acceleration (gravity)?

And what is the equation for the vertical motion of a projectile as a function of Vo, Yo, a, and time? How would you apply that equation to this question? And use the hints you were given in Post #2...
 

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