It has been claimed that an insect called the froghopper (Philaenus spumarius) i

Question

It has been claimed that an insect called the froghopper (Philaenus spumarius) is the best jumper in the animal kingdom. This insect can accelerate at 4,000 m/s2 over a distance of 2.0 mm as it straightens its specially designed "jumping legs." Assuming a uniform acceleration, answer the following. (a) What is the velocity of the insect after it has accelerated through this short distance? (Enter the magnitude of the velocity.) _______m/s. (b) How long did it take to reach that velocity? ______________ms. (c) How high would the insect jump if air resistance could be ignored? Note that the actual height obtained is about 0.7 m, so air resistance is important here. ____________ m.

Explanation / Answer

a)V=sqrt(2*2*10^(-3)*4000)=4m/s b)t=4/4000=10^(-3)s c)h=2*10^(-3)+16/(2*9.8)=0.82032m

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