- #1

baumbad

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- Homework Statement
- A hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. After a time interval Δt, a crew member releases a ballast sandbag from the basket attached to the balloon.

How many seconds does it take the sandbag to reach the ground? Express your answer in terms of Δt.

- Relevant Equations
- s = ut + 1/2at^(2)

I got to the quadratic equation of the motion where: 4gt^(2) - g(delta t)t - g(delta t) = 0 and tried to solve for t. In this case, we would take the positive discriminate since we are dealing with the passing of time.

t = ((sqrt(17) g(delta t)) + g (delta t)) / (8g)

However, this is the wrong answer and I am not sure why.

t = ((sqrt(17) g(delta t)) + g (delta t)) / (8g)

However, this is the wrong answer and I am not sure why.