Graphs 4
4 marks · NormalThe height y (in metres) of a bungee jumper above the ground t seconds after jumping is modelled by .
Complete the following table and plot the graph of y against t for .
| t (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| y (m) |
Use the table to plot a graph. Clearly label your axes.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
Must show: Accurate plotting of all (t, y) points, Smooth parabola curve, Axes labelled (t in s, y in m)
Common mistakes: Not labelling axes; Plotting errors; Using x instead of t
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Correctly substitutes at least three t-values into the equation for y.
A1 · 1 mark · Completes all values in the table correctly.
A2 · 1 mark · Plots all points accurately and draws a smooth curve.
B1 · 1 mark · Labels both axes clearly.
Worked solution
Substitute values into y = -2t^2 + 8t + 18:
| t | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| y | 18 | 24 | 26 | 24 | 18 | 8 | -6 |
Plot these points on a graph and draw a smooth curve. Label axes: t (s) and y (m).