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flea can jump to amazing heights- as high as 30 m straight up, about 100 times t

ID: 1657284 • Letter: F

Question

flea can jump to amazing heights- as high as 30 m straight up, about 100 times the flea's length. A) for such a jump, what take off speed is required? B) how much time does it take the flea to reach maximum height?
flea can jump to amazing heights- as high as 30 m straight up, about 100 times the flea's length. A) for such a jump, what take off speed is required? B) how much time does it take the flea to reach maximum height?
flea can jump to amazing heights- as high as 30 m straight up, about 100 times the flea's length. A) for such a jump, what take off speed is required? B) how much time does it take the flea to reach maximum height?

Explanation / Answer

a)

d =30 m

vi = ?

vf = 0 m/s (because at maximum height speed is 0)

a = -9.8 m/s^2

use:

vf^2 = vi^2 + 2*a*d

0 = vi^2 + 2*(-9.8)*30

vi^2 = 2*9.8*30

vi^2 = 588

vi = 24.2 m/s

Answer: 24.2 m/s

b)

use:

vf = vi + a*t

0 = 24.2 - 9.8*t

t = 2.47 s

Answer: 2.47 s