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Course: High school physics > Unit 1

Lesson 4: Velocity and speed from graphs
Science
High school physics
One-dimensional motion
Velocity and speed from graphs
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Finding displacement from velocity graphs

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Problem

An eagle is flying around and its velocity v as a function of time t is given in the graph below where rightwards is the positive velocity direction.
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
What is the eagle's displacement Δx from t=1.0s to 4.0s?
Answer with two significant digits.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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