Introduction to integration — Question 118

Original QCE Vault practice · 1 mark

Q118 · Practice questionTechnology-freeComplex familiar1 mark

QUESTION 118

A particle has acceleration

a(t)=6t-4

, with

v(0)=3

and

s(0)=1

. Determine

s(2)

(A)

3

(B)

5

(C)

7

(D)

9

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

Integrating gives

v(t)=3t^2-4t+3

and then

s(t)=t^3-2t^2+3t+1

. Hence

s(2)=7

Selects the correct option.

[1 mark]

Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.