I with the formula for this marble falling from a platform

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Homework Help Overview

The discussion revolves around a marble being released from a platform with a height described by a quadratic equation. The initial velocity of the marble is given, and participants are exploring the implications of the platform's height and velocity on the marble's motion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are questioning whether the platform's height is fixed or changing, and how this affects the marble's motion. There are discussions about deriving the velocity from the position equation and clarifications about the direction of the marble's release.

Discussion Status

There is an ongoing exploration of the relationship between the platform's height and the marble's motion. Some participants have offered guidance on differentiating the position equation to find velocity, while others are still seeking clarity on the problem's setup.

Contextual Notes

There is uncertainty regarding the nature of the platform's height and its relevance after the marble is released. The initial conditions and the equation provided are under scrutiny, with participants expressing confusion about the implications of these factors.

DThes
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A marble is released at 22.5 meters per second from a 70 meter tall platform. When will the marble strike the ground if the equation for the platforms height is 2.3[t][/2]+ (-)6.5t+70?
 
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Welcome to the forum. Please don't delete the Homework template as it's there for a good reason.

In what direction is the marble released?

You have an equation for the height/position of the platform. Do you know how to get an equation for the velocity of an object from the equation for it's position?
 
Your question confuses me. Is the platform at a fixed height of 70 meters or is it at a changing height of 2.3[t][/2]+ (-)6.5t+70? Also, why would the platform height matter after the marble is released?
 
CWatters said:
Welcome to the forum. Please don't delete the Homework template as it's there for a good reason.

In what direction is the marble released?

You have an equation for the height/position of the platform. Do you know how to get an equation for the velocity of an object from the equation for it's position?
Is it vx= dxf/t?
 
FactChecker said:
Your question confuses me. Is the platform at a fixed height of 70 meters or is it at a changing height of 2.3[t][/2]+ (-)6.5t+70? Also, why would the platform height matter after the marble is released?
I am not sure if the platform is at a fixed height. That's the whole the whole problem.
 
DThes said:
I am not sure if the platform is at a fixed height.

No the position is varying according to that equation. Note that when you substitute t=0 you get the initial height of 70m. At other values of t you get a different height.

DThes said:
Is it vx= dxf/t?

Yes to go from position to velocity you differentiate the position equation. I suggest you do that and post an equation for the velocity of the platform.
 
FactChecker said:
Your question confuses me. Is the platform at a fixed height of 70 meters or is it at a changing height of 2.3[t][/2]+ (-)6.5t+70? Also, why would the platform height matter after the marble is released?

It's not the height that matters it's the velocity. I assume the launch velocity (22.5m/s) is relative to the moving platform.

Correction: The height at launch will matter but it's known to be 70m.
 
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CWatters said:
It's not the height that matters it's the velocity. I assume the launch velocity (22.5m/s) is relative to the moving platform.

Correction: The height at launch will matter but it's known to be 70m.
Oh, of course. Thanks.
 
DThes said:
Is it vx= dxf/t?
I assume that we are talking about an upward vertical release. So we are talking about vertical position -- aka height. We have the height of the platform as a function of time. We do not have anything that would aptly be called "x" or "f".

How about expressing the platform's vertical velocity as ##v_p(t) = \frac{d\ h_p(t)}{dt}##
 

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