Higher November 2023 Paper 1 Q15
15 An object falls from rest.
Here is the distance-time graph for the distance (\(d\) metres) fallen by the object \(t\) seconds after it starts to fall.
Work out an estimate for the gradient of the graph at \(t = 3\)
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 25 | M1 | for a tangent drawn at \(t = 3\) |
| M1 | for a complete method to find the gradient from tangent eg \(50 \div (4 - 2)\) | |
| A1 | for answer in the range 22 to 28 or ft acceptable tangent |
Additional guidance
A tangent must be seen to award any marks
This mark can be awarded if the tangent is drawn at \(t \neq 3\)
Award 0 marks for a correct answer (in the range) with no (or incorrect) supportive working