Example 4

The velocity of a ball thrown directly upward can be modeled with the following equation: , where is the velocity, is the acceleration due to gravity, is the elapsed time, and is the initial velocity at time 0. If the acceleration due to gravity is equal to 32 feet per second per second, and the initial velocity of the ball is 96 feet per second, what is the equation that represents the velocity of the ball? Graph the equation.
  1. Read the problem statement and then reread the problem, determining the known quantities.
  2. Identify the slope and the y-intercept.
  3. Substitute the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept.
  4. Set up the coordinate plane.
  5. Graph the equation using the slope and y-intercept. Plot the y-intercept first.
  6. Graph the equation using the slope and y-intercept. Use the slope to find the second point.
  7. Connect the points and extend the line toward the right. Then, label your line.
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