Kinematics Free Fall problems help

AI Thread Summary
The discussion revolves around a kinematics problem involving a hot air balloon and a camera tossed upward. The initial attempt to solve the problem incorrectly calculated the time to reach maximum height instead of the time when the camera passes the balloon. The correct approach requires determining the time it takes for the camera to reach the height of the balloon, which is rising at a constant speed. Participants emphasize the importance of using the correct equations of motion to find the right time and height. Clarification on the problem-solving method is sought to ensure accurate results.
P944
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Homework Statement


I am having a heck of a time trying to solve these problems. Please help if you can.

A hot air balloon has just lifted off and is rising at the constant rate of 2.4 m/s. Suddenly, one of the passengers realizes she has left her camera on the ground. A friend picks it up and tosses it straight upward with an initial speed of 11.6 m/s. If the passenger is 2.5 m above her friend when the camera is tossed, how high is she when the camera reaches her?

Homework Equations


v= v0 +a*t
x=x0 + vt - 1/2*a*t^2
x=x0 + v0*t +1/2at^2
v^2 =V0^2 +2a(x-x0)


The Attempt at a Solution


I tried to solve for time then use that variable to solve for distance
V=Vo + at = 0=11.6m/s +(-9.80m/s^2)*t
1.184s = time

x = x0 +vt - 1/2at^2
x = 2.5m + (1.184s)(11.6m/s) - 1/2(-9.80m/s^2)(1.184s)^2 = 23.10

I would greatly appreciate if someone could help me understand where i went wrong or understand how to approach this problem. thank you so much
 
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Welcome to PF!

Hi P944! Welcome to PF! :smile:
P944 said:
I tried to solve for time then use that variable to solve for distance
V=Vo + at = 0=11.6m/s +(-9.80m/s^2)*t
1.184s = time

Nooo :redface: … that's the time it reaches maximum height (v = 0), you need the time it passes the balloon. :wink:
 
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