Higher June 2023 Paper 3 Q17
17 Here is a distance-time graph.
(a) Find an estimate of the gradient of the graph at time 2.5 seconds.
You must show how you get your answer. (3)
You must show how you get your answer. (3)
(b) What does the gradient of the graph represent? (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 16.5 to 19.5 | M1 | for tangent drawn at \(t = 2.5\) |
| M1 | dep (M1) for a complete method to find the gradient from tangent eg \((48 - 0) \div (4 - 1.4)\ \ (= 18.4\ldots)\) | |
| A1 | for answer in the range 16.5 to 19.5 or ft acceptable tangent |
Additional guidance
The tangent must be seen to award any marks
Award 0 marks for a correct answer (in the range) with no (or incorrect) supportive working
| Answer | Mark | Mark scheme |
|---|---|---|
| Description | C1 | eg speed or velocity |
Additional guidance
“speed” may be expressed in a different way, eg distance per unit time (at that point)
Award if extra information is given provided not contradictory.