Vertical Motion and Free Fall Video Lessons

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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.

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Our tutors have indicated that to solve this problem you will need to apply the Vertical Motion and Free Fall concept. You can view video lessons to learn Vertical Motion and Free Fall. Or if you need more Vertical Motion and Free Fall practice, you can also practice Vertical Motion and Free Fall practice problems.

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Based on our data, we think this problem is relevant for Professor Letchworth-Weaver's class at JMU.