Neco 2023 Further Mathematics Question 27

Practice objective / multiple choice question 27 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 27 NECO • 2023 • FURTHER_MATHEMATICS • objective

A particle moves along a straight line with acceleration \(a(t)=6t-4\) m/s\(^2\), where \(t\) is in seconds. The particle starts from rest at the origin at \(t=0\). Determine the positive time(s) \(T\) at which the particle's velocity equals twice its displacement from the origin, and compute the total distance travelled up to each such time.

Answer Options

A. T = (7-√17)/4 s, distance ≈0.700 m; T = (7+√17)/4 s, distance ≈9.000 m
Correct Answer B. T = (7-√17)/4 s, distance ≈0.663 m; T = (7+√17)/4 s, distance ≈8.411 m
C. T = (7-√17)/2 s, distance ≈1.326 m; T = (7+√17)/2 s, distance ≈16.822 m
D. T = (7-√13)/4 s, distance ≈0.550 m; T = (7+√13)/4 s, distance ≈8.200 m
Correct Answer
B
Correct Option:
T = (7-√17)/4 s, distance ≈0.663 m; T = (7+√17)/4 s, distance ≈8.411 m

About This Question

This is Neco 2023 Further Mathematics Question 27. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Hard .

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