Higher June 2024 Paper 4 Q16
16 A lift can travel at a maximum speed of 9.83 m / s, correct to 3 significant figures.
The lift travels a distance of 174 m, correct to the nearest metre, between the ground floor and the top floor of a building.
(a) Use the above information to work out the shortest possible time for the lift to travel between the ground floor and the top floor.
You must show your working. [4]
You must show your working. [4]
(b) Explain why your answer to part (a) may not be possible to achieve. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 17.6[4…] with correct working | 4 | B2 for 173.5 and 9.835 or 9.8349[9..] selected or B1 for one of these or M1 for 173.5 to 174.5/174.49[9..] and 9.825 to 9.835/9.8349[9..] M1 for (173.5 to 174.5) ÷ (9.825 to 9.835) If 0 or 1 scored, instead award SC2 for answer 17.6[4…] with no working or insufficient working | “Correct working” requires evidence of the selection of 173.5 and 9.835 or 9.8349[9..] |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any viable reason e.g. lift has to speed up and slow down | 1 | see appendix | |
Appendix: exemplar responses for Q16(b)
| Response | Mark |
|---|---|
| lift has to speed up and slow down | 1 |
| it will take time to reach this speed | 1 |
| It will not travel at the maximum speed all the way | 1 |
| the distance could be greater than 173.5 (e.g. 174.3) and the speed may be less than 9.835 (e.g. 9.826) therefore the time will be greater than the shortest time oe | 1 |
| We are using the bounds so it may not be accurate/achievable | 1 |
| The figure for the height has been rounded down which may not be the height of the building | 1 |
| The figure for the speed has been rounded up which may not be the actual speed | 1 |
| It makes other stops on the way | 1 |
| Extra weight may slow it down | 1 |
| Technical fault may occur | 1 |
| May not be a constant speed | 1 |
| Lift gets stuck | 1 |
| Lift may not be able to reach that speed | 1 |
| Weight on the lift is a factor [so may slow it down] | 1(BOD) |
| It does not make any other stops | 0 |