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holy physics! i can't wrap my head around this.

Jane wishes to quickly scale a slender vine to visit Tarzan in his treetop hut. The vine is known to safely support the combined weight of Tarzan, Jane, and Cheeta. Tarzan has twice the mass of Jane, who has twice the mass of Cheeta. If the vine is 60 m long, what minimum time should Jane allow for the climb?

this is what i've scrounged so far:

d= 60 m

V1 = 0

jane wants to quickly scale the vine - let's find a, then t

cheetah's weight is x, jane is 2x, tarzan is 4x. the vine can hold 7x, so jane can apply 3.5x her own weight.

Fnet = ma

Fg = mg = ma

3.5mg = ma [cancel masses]

3.5 (9.81) = a

a = 34.3

then plug a into one of the kinematics to find t. is this correct?

edit: i got t = 1.87 s

i guess what i am trying to say is that it seems too easy now compared to the amount of time i just stared at the question so maybe i have made some terrible mistake

## Homework Statement

Jane wishes to quickly scale a slender vine to visit Tarzan in his treetop hut. The vine is known to safely support the combined weight of Tarzan, Jane, and Cheeta. Tarzan has twice the mass of Jane, who has twice the mass of Cheeta. If the vine is 60 m long, what minimum time should Jane allow for the climb?

## The Attempt at a Solution

this is what i've scrounged so far:

d= 60 m

V1 = 0

jane wants to quickly scale the vine - let's find a, then t

cheetah's weight is x, jane is 2x, tarzan is 4x. the vine can hold 7x, so jane can apply 3.5x her own weight.

Fnet = ma

Fg = mg = ma

3.5mg = ma [cancel masses]

3.5 (9.81) = a

a = 34.3

then plug a into one of the kinematics to find t. is this correct?

edit: i got t = 1.87 s

i guess what i am trying to say is that it seems too easy now compared to the amount of time i just stared at the question so maybe i have made some terrible mistake

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