Need help combining various equations for a single problem

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SUMMARY

The problem involves a helicopter ascending at 5.20 m/s from a height of 125 m when a package is dropped. To determine the time it takes for the package to reach the ground, one can utilize the constant acceleration equations of motion, specifically incorporating gravitational acceleration (g = 9.80 m/s²). The initial speed of the package is 5.20 m/s upwards, and the distance to the ground is 125 m. By applying the appropriate kinematic equation, the time can be calculated definitively.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Familiarity with gravitational acceleration (g = 9.80 m/s²)
  • Basic knowledge of initial velocity and displacement concepts
  • Ability to manipulate algebraic equations
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  • Study the kinematic equation: \( d = v_i t + \frac{1}{2} a t^2 \)
  • Learn how to calculate time of flight in projectile motion
  • Explore the effects of initial velocity on falling objects
  • Review examples of free fall problems in physics
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Homework Statement


A helicopter is ascending vertically with the speed of 5.20 m/s. At a height of 125 m above the Earth , a package is dropped from a window. How much time does it take for the package to reach the ground.
I am brand new to physics , but to me it seems like there is not enough info here . I know that there probably is I just don't know where to start.



Homework Equations

g= 9.80 m/s2



The Attempt at a Solution

 
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Welcome to PF!

Hi ZPoston! Welcome to PF! :wink:
ZPoston said:
… it seems like there is not enough info here . I know that there probably is I just don't know where to start.

You have the initial speed, the acceleration, and the distance …

so use one of the standard constant acceleration equations :smile:
 

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