Limit word problem- helicopter jump

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Homework Help Overview

The problem involves a stuntperson, Ayida, who is planning to jump from a helicopter while using a jetpack to control her descent. The context includes calculating the timing of the jetpack's activation to ensure she lands with zero velocity from varying heights of 100m and 200m, as well as determining the maximum height for a safe landing.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to analyze the motion involved in the jump. There are inquiries about the derivation and application of the displacement equation for constant acceleration.

Discussion Status

Some guidance has been provided regarding the relevant equations for motion, but there is ongoing questioning about the derivation of these equations and their applicability to the problem. Multiple interpretations of the problem's requirements are being explored.

Contextual Notes

Participants are navigating the specifics of the problem setup, including the conditions of the jump and the parameters of the jetpack's performance. There is a lack of consensus on the initial conditions and how they affect the calculations.

Aoiro
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Hi, I need help with this question

At a publicity event, Ayida, a stuntperson, will jump out of a helicopter with a jetpack on her back. The jetpack allows her to achieve a net upward acceleration of 4.4m/s^2 for a single interval of maximun length 10s. Ayida wants to time the use of the jetpack so that she lands with a zero velocity.
a) If the helicpter is 100m height, when should Ayida turn on her jetpack? When will she land?
b) If the helicopter is 200m height, when should Ayadia turn on her jetpack? when will she land?
c) What is the maximum height from which Ayida can jump to land with zero velocity?

I don't know where to start can someone explain this problem thanks.
 
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Use the equation y = y_{0} +v_{y0}t + \frac{1}{2}a_{y}t^{2}. You can differentiate this to get v_{y} = v_{y0}+a_{y}t
 
Last edited:
How did you get that equation?
 
Aoiro said:
How did you get that equation?

It's a 'standard' equation of displacement for motion with constant acceleration.
 

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