Kinematics equations useful in this problem are:

$\overline{)\mathbf{}{{\mathbf{v}}}_{{\mathbf{f}}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{-}}{\mathit{g}}{\mathit{t}}\phantom{\rule{0ex}{0ex}}{\mathbf{}}{{{\mathbf{v}}}_{{\mathbf{f}}}}^{{\mathbf{2}}}{\mathbf{=}}{\mathbf{}}{{{\mathbf{v}}}_{{\mathbf{0}}}}^{{\mathbf{2}}}{\mathbf{-}}{\mathbf{2}}{\mathit{g}}{\mathbf{\u2206}}{\mathit{y}}}$

**a.**

We use the kinematic equation v_{f}^{2} = v_{0}^{2} - 2gΔy

At maximum height, v_{f} = 0 m/s

a = -g = - 9.80 m/s^{2}

Δy = h = 0.360m

In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80m/s^{2} . Ignore air resistance.

A flea jumps straight up to a maximum height of 0.360 m.

a. What is its initial velocity *v*_{0} as it leaves the ground?

b. How long is the flea in the air from the time it jumps to the time it hits the ground?

Express your answer in seconds to three significant figures.

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