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(a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground? (b) How long is it in the air?

Short Answer

Expert verified

(a) The initial speed when flea leaves the ground is u =2.94 m/s .

(b) Total time in air t = 0.3 s

Step by step solution

01

identification of the given data

  • Total distance travelled (s) =0.440 m
  • Acceleration due to gravity=9.81 m/s/s.
02

calculation of the initial speed

(a)

Final velocity is calculated by using

v2=u2+(2×a×s)

Where, v= final velocity, u=initial velocity, a=acceleration due to gravity, and s=distance travelled

Substituting the values,

v2=u2+(2×a×s)0=u2+(2×(-9.81)×0.440)u=2.94m/s

Thus, the final velocity of the system is u =2.94 m/s.

03

calculation of total time

(b)

The total time required is calculated by using,

t=uat=2.949.81t=0.3s

Total time in the air is twice that as the flea has to fall to the ground again, i.e. total time in air t =0.3 s.

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