Neco 2020 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 32 NECO • 2020 • FURTHER_MATHEMATICS • objective

A particle moves along a straight line with acceleration \(a(t)=6t-4\) (in m/s\(^2\)), starting from rest at the origin when \(t=0\). (i) Find the first positive time \(t\) at which the particle's speed equals twice its displacement (i.e. \(v=2x\)). (ii) Determine the total distance travelled by the particle up to \(t=3\) seconds.

Answer Options

Correct Answer A. t = (7 - \sqrt{17})/4 s; distance = 307/27 m
B. t = (7 - \sqrt{13})\/4 s; distance = 307\/27 m
C. t = (7 - \sqrt{17})\/4 s; distance = 311\/27 m
D. t = (7 + \sqrt{17})\/4 s; distance = 307\/27 m
Correct Answer
A
Correct Option:
t = (7 - \sqrt{17})/4 s; distance = 307/27 m

About This Question

This is Neco 2020 Further Mathematics Question 32. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Hard .

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