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Further Mathematics Paper 2, Nov/Dec. 2007  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength





Question 8

A body starts with a uniform acceleration and attains a velocity of 55ms-1 after 5s.  If the body attains a velocity of 105 ms-1 after an additional 5 s, find the distance covered in 8 s.

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Observation

Most candidates found this question very difficult to solve.  They only needed to understand the appropriate equation of motion to be applied.  To find the initial velocity (u); since final velocity (v) = 55 m/s at time (t) = 5 secs and 105 m/s at time t = 10 secs, and using v = u + at, two simultaneous equations emerged,  i.e  55 = u + 5q --- (i) and 105 = u + 10 a --- (ii) which when solved gave  a = 10 m/s2
The distance (s) = ut + ½  at 2 where u = 55 m/s, a = 10 m/s and t = (8-5) = 3 sec i.e S = 55(3) + ½ (10)(3)2  = 210m.

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