Question

Jane, looking for Tarzan, is running at top speed (6.0 m/s ) and grabs a vine hanging vertically from a tall tree in the jungle.

Answer 1

(a) The maximum height reached by Jane is 1.8 m.

(b) The length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.

Maximum height Jane can swing

apply the principle of conservation of energy;

P.E = K.E

mgh = ¹/₂mv²

h = v²/2g

where;

• v is speed of jane
• g is acceleration due to gravity

h = (6²)/(2 x 9.8)

h = 1.84 m

Time of motion of Jane

Assuming Jane to be in simple harmonic motion, the time of motion is calculated as;

T =  2π√(L/g)

where;

• L is the length of the vine

Thus, the length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.

Learn more about maximum height here: brainly.com/question/12446886

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