Neco 2019 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 50 NECO • 2019 • FURTHER_MATHEMATICS • objective

A car of mass 1500\,kg travels on a flat circular track of radius 80\,m. The coefficient of static friction between the tyres and the road is 0.35.\n\n(a) Determine the maximum speed the car can maintain without skidding, assuming the road is level.\n\n(b) If the car is to travel at a speed of 30\,m\,s^{-1} on a banked curve with no reliance on friction, find the required banking angle \(\theta\) (in degrees). Give \(\theta\) to the nearest whole degree.

Answer Options

A. Maximum speed ≈ 12.5 m s⁻¹; banking angle ≈ 55°
B. Maximum speed ≈ 18.0 m s⁻¹; banking angle ≈ 52°
Correct Answer C. Maximum speed ≈ 16.6 m s⁻¹; banking angle ≈ 49°
D. Maximum speed ≈ 14.2 m s⁻¹; banking angle ≈ 45°
Correct Answer
C
Correct Option:
Maximum speed ≈ 16.6 m s⁻¹; banking angle ≈ 49°

About This Question

This is Neco 2019 Further Mathematics Question 50. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Hard .

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