6.3 ANSWERS normal path

Answers

Two students of Cambreur College are going to bungee jump. They are going to jump of a bridge. Before they are going to jump they want to know the height of the bridge. The instructor gives them the following formula to calculate the height. 

h = -0.5w2 + 6.5 

Where h is the height in meters and w the width in meters. 

bridge, cap parabola
cap parabola

a) What type of parabola is this?  

This is a cap parabola. 

 

b) What is the height when the students are going to jump at a width of 0 meters? 

The width is 0 meters --> w = 0 --> fill this into the formula. 

h = -0.5 . 02 + 6.5 

h = 0 + 6.5

h = 6.5 meters

So, the height at a width of 0 meters is 6.5 meters. 

 

c) Draw the graph of h = -0.5w2 + 6.5 

  • First make a table with seven points
  • Plot the points
  • Draw the parabola -> smooth curve -> without protractor triangle