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Mathematical Methods — Question 4

QCAA 2023, Paper 2 · 1 mark

Q4 · 2023 · Technology-activeSimple familiar1 mark

QUESTION 4

An object has displacement

d=e^{0.5t}-1

. Its acceleration at

t=4

is closest to

(A)

7.3891

(B)

6.3891

(C)

3.6945

(D)

1.8473

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer D

1 mark

ANSWER

D —

1.8473

Worked solution

a=d''=0.25e^{0.5t}

, so

a(4)=0.25e^2\approx1.8473

; D.

Selects option D.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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