Q

Evidence

Achievement (u)

Merit (r)

Excellence (t)



Apply calculus methods in solving problems.

Apply calculus methods, using relational thinking, in solving problems.

Apply calculus methods, using extended abstract thinking, in solving problems.

ONE
(a)

f ' (x) = 6x^{2 }– 10
f ' (2) = 14

Correct.



(b)

or
p(x) = 4x – 2x^{3} + 13

Correct.



(c)

v = 0.2 t + 5
When v = 8
8 = 0.2t + 5
t = 15 secs

Finding expression for v
and equating to 8.

Finding the value of t.


(d)

So v = 25
_{ turning point}
Shape of parabola or
f " > 0 minimum

Finding expression for f .

Substitute 25 for v and show the value of the expression is 0
or find v = 25
from f = 0

Justification.

(e)

t = 0, v = 0
c = 0
t = 0, s = 0 c = 0
When t = 30
s = 1125 metres

Finding expression for v.

Finding expression for s.

Finding the distance when
t = 30.

NØ

N1

N2

A3

A4

M5

M6

E7

E8

No response; no relevant evidence

Attempt at one question

1 of u

2 of u

3 of u

1 of r

2 of r

1 of t

2 of t
