I need help with part C. Here is the following question: The froghopper Philaenu

Question

I need help with part C. Here is the following question:
The froghopper Philaenus spumarius is supposedly the best jumper in the animal kingdom. To start a jump, this insect can accelerate at 4.00 km/s2 over a distance of 2.0 mm as it straightens its specially designed "jumping legs."
(a) Find the upward velocity with which the insect takes off.
4.00 m/s

(b) In what time interval does it reach this velocity?
1.00 m/s
(c) How high would the insect jump if air resistance were negligible? The actual height it reaches is about 70 cm, so air resistance must be a noticeable force on the leaping froghopper. ?

Explanation / Answer

we have got initial velocity v = 4.00 m/s, final velocity = 0 find height h acceleration a = -9.8 m/s^2 0^2 - v^2 = 2ah so h = -v^2/(2a) = 0.816 m = 81.6 cm

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