| Date | None Specimen | Marks available | 3 | Reference code | SPNone.1.sl.TZ0.3 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Find | Question number | 3 | Adapted from | N/A |
Question
A toy car travels with velocity v ms−1 for six seconds. This is shown in the graph below.
The following diagram shows the graph of y=f(x), for −4≤x≤5.
Write down the car’s velocity at t=3 .
[1]
a.
Write down the value of f(−3);
[1]
a(i).
Find the car’s acceleration at t=1.5 .
[2]
b.
Find the total distance travelled.
[3]
c.
Markscheme
4 (ms−1) A1 N1
[1 mark]
a.
f(−3)=−1 A1 N1
[1 mark]
a(i).
recognizing that acceleration is the gradient M1
e.g. a(1.5)=4−02−0
a=2 (ms−2) A1 N1
[2 marks]
b.
recognizing area under curve M1
e.g. trapezium, triangles, integration
correct substitution A1
e.g. 12(3+6)4 , ∫60|v(t)|dt
distance 18 (m) A1 N2
[3 marks]
c.
Examiners report
[N/A]
a.
[N/A]
a(i).
[N/A]
b.
[N/A]
c.
