Is D=1/2*a*t^2 the Right Formula to Calculate Rocket Height?

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Homework Help Overview

The discussion revolves around calculating the height a bottle rocket reaches using the formula D = 1/2 * a * t^2, where participants consider the effects of ignoring air resistance and the correct interpretation of time in the context of the rocket's flight.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to apply the formula for height calculation and questions whether their approach is correct. They seek alternative methods or formulas for determining height. Some participants discuss the importance of time in the formula, particularly noting that the time to reach maximum height is half of the total flight time.

Discussion Status

Participants are actively engaging with the problem, with some providing clarifications on the use of units and the interpretation of time in the formula. There is a recognition of the need to divide the total time by two to find the time to maximum height, but no explicit consensus on the final method or approach has been reached.

Contextual Notes

There is an emphasis on the importance of units in calculations, and participants are navigating the assumptions related to ignoring air resistance and the nature of the rocket's trajectory.

JEscribir
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I need to find the height a rocket travels(bottle rocket). If I use this equation, ignoring air resistance, etc... I should use a stop watch from the time of launch till it hits the ground equaling t. a=9.81 m/s.


Is that the correct way to use the formula for this excerise?

Is there another way I should use it?

Is there another formula or method to find the height?, if so what?


--Thanks
 
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JEscribir said:
I need to find the height a rocket travels(bottle rocket). If I use this equation, ignoring air resistance, etc... I should use a stop watch from the time of launch till it hits the ground equaling t. a=9.81 m/s.


Is that the correct way to use the formula for this excerise?

Is there another way I should use it?

Is there another formula or method to find the height?, if so what?


--Thanks

It certainly isn't a bad way to do it. Just remember that it takes only half the time to get to max height as it does to get back to the ground.

BTW: I wouldn't be me if I didn't say something...I'm a real prig when it comes to units...The magnitude of a is 9.81 m/s^2, NOT m/s.

-Dan
 
Thank you for the unit correction, it is important( it was an embarrrasing mistake :frown: ). Let me review, the time( from launch till fall) I get should be divided by two to get the distance: so would I do d=1/2 *a*((t^2)/2) ?


thanks
 
Yes because the rocket travels in a parabolic shape. The overall time it takes includes both when it rises and falls and since you want the tallest height it flies, you want where time is at half of the overall duration in travel.
 

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