Problem: In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s2. Ignore air resistance.(a) A flea jumps straight up to a maximum height of 0.360 m. What is its initial velocity v0 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.

FREE Expert Solution

At ymax, v=0

Kinematics equations for y-direction of projectile motion:

  1. vfy2 = v0y2 − 2gΔy
  2. vfy = v0y − gt
  3. Δy = (vfy − v0y)/t
  4. Δy = v0yt + ½at2

(a) Target: v0y; known: a, Δy, vfy. Use #1:

0 = v0y2 − 2gΔy

v0y = (2gΔy)1/2

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Problem Details

In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s2. Ignore air resistance.

(a) A flea jumps straight up to a maximum height of 0.360 m. What is its initial velocity v0 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.