Neco 2024 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 44 NECO • 2024 • FURTHER_MATHEMATICS • objective

A particle moves along a straight line with acceleration \(a(t)=k t-4\) (in m/s\(^2\)), where \(t\) is time in seconds and \(k\) is a constant. At \(t=0\) the particle is at the origin and at rest. After 5 seconds its velocity is 20 m/s. Determine the value of \(k\) and the total distance travelled by the particle in the first 8 seconds (to two decimal places).

Answer Options

A. k = 3.80 m\/s³; distance ≈ 158.90 m
B. k = 2.80 m\/s³; distance ≈ 132.45 m
C. k = 4.20 m\/s³; distance ≈ 170.12 m
Correct Answer D. k = 3.20 m/s³; distance ≈ 145.07 m
Correct Answer
D
Correct Option:
k = 3.20 m/s³; distance ≈ 145.07 m

About This Question

This is Neco 2024 Further Mathematics Question 44. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Hard .

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