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BIO Flying Leap of the Flea. High-speed motion pictures
Chapter 2, Problem 54E(choose chapter or problem)
BIO Flying Leap of the Flea. High-speed motion pictures (3500 frames/second) of a jumping, \(210-\mu g\) flea yielded the data used to plot the graph given in Fig. E2.54. (See “The Flying Leap of the Flea” by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer the questions.
(a) Is the acceleration of the flea ever zero? If so, when? Justify your answer.
(b) Find the maximum height the flea reached in the first 2.5 ms.
(c) Find the flea’s acceleration at 0.5 ms, 1.0 ms, and 1.5 ms.
(d) Find the flea’s height at 0.5 ms, 1.0 ms, and 1.5 ms.
Equation Transcription:
Text Transcription:
\(210-\mu g\)
Questions & Answers
QUESTION:
BIO Flying Leap of the Flea. High-speed motion pictures (3500 frames/second) of a jumping, \(210-\mu g\) flea yielded the data used to plot the graph given in Fig. E2.54. (See “The Flying Leap of the Flea” by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer the questions.
(a) Is the acceleration of the flea ever zero? If so, when? Justify your answer.
(b) Find the maximum height the flea reached in the first 2.5 ms.
(c) Find the flea’s acceleration at 0.5 ms, 1.0 ms, and 1.5 ms.
(d) Find the flea’s height at 0.5 ms, 1.0 ms, and 1.5 ms.
Equation Transcription:
Text Transcription:
\(210-\mu g\)
ANSWER:Step 1 of 5
a) The acceleration will be zero from 1.5 ms till 2.5 ms. This is because, we can see a curve which is parallel to the x-axis (time-axis). It means that, the velocity is constant after 1.5 ms. If the velocity is constant, the initial and final velocities will be same. That is, v = u = constant.
According to the equation for acceleration, a = (v-u)/t
Therefore, the term, (v-u) will be zero. It means that, the acceleration is zero when velocity is constant.