Date | November 2016 | Marks available | 2 | Reference code | 16N.2.SL.TZ0.S_9 |
Level | Standard Level | Paper | Paper 2 | Time zone | Time zone 0 |
Command term | Find | Question number | S_9 | Adapted from | N/A |
Question
A particle P starts from a point A and moves along a horizontal straight line. Its velocity after seconds is given by
The following diagram shows the graph of .
P is at rest when and .
When , the acceleration of P is zero.
Find the initial velocity of .
Find the value of .
(i) Find the value of .
(ii) Hence, find the speed of P when .
(i) Find the total distance travelled by P between and .
(ii) Hence or otherwise, find the displacement of P from A when .
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
valid attempt to substitute into the correct function (M1)
eg
2 A1 N2
[2 marks]
recognizing when P is at rest (M1)
5.21834
A1 N2
[2 marks]
(i) recognizing that (M1)
eg, minimum on graph
1.95343
A1 N2
(ii) valid approach to find their minimum (M1)
eg, reference to min on graph
1.75879
speed A1 N2
[4 marks]
(i) substitution of correct into distance formula, (A1)
eg
4.45368
distance A1 N2
(ii) displacement from to (seen anywhere) (A1)
eg
displacement from to (A1)
eg
valid approach to find displacement for M1
eg
displacement A1 N2
[6 marks]