The table already shows some values of $t$ and $d$. Where appropriate, the $d$ values have been rounded to the nearest whole number. Complete the missing entries.
Plot the table values on the grid, then connect the points with a smooth curve.
Use a tangent to work out the gradient of the curve when $t = 4$.
State what this gradient tells you.
For how long is the object within $10$ metres of the observer?
From your graph, state the two values of $t$ when the object is $12$ metres from the observer. For each one, say whether the object is moving towards or away from the observer.
Write the equation that gives the values of $t$ when the object is $12$ metres from the observer.
The equation can be written in the form $t^3 + At + 48 = 0$. Determine $A$.