Date | May 2017 | Marks available | 1 | Reference code | 17M.2.SL.TZ1.S_7 |
Level | Standard Level | Paper | Paper 2 | Time zone | Time zone 1 |
Command term | Write down | Question number | S_7 | Adapted from | N/A |
Question
A particle P moves along a straight line. Its velocity after seconds is given by , for . The following diagram shows the graph of .
Write down the first value of at which P changes direction.
Find the total distance travelled by P, for .
A second particle Q also moves along a straight line. Its velocity, after seconds is given by for . After seconds Q has travelled the same total distance as P.
Find .
Markscheme
A1 N1
[1 mark]
substitution of limits or function into formula or correct sum (A1)
eg
9.64782
distance A1 N2
[2 marks]
correct approach (A1)
eg
correct integration (A1)
eg
equating their expression to the distance travelled by their P (M1)
eg
5.93855
5.94 (seconds) A1 N3
[4 marks]