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WAEC Mathematics 2016 Paper
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© africaexams.com
Question : 4
Total: 49
The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
90cm
135cm
180cm
225cm
Validate
Solution:
d
α
t
2
d = t
2
k
where k is a constant. d = 45cm, when t = 3s; thus 45 = 3
2
x t
k =
45
9
= 5
thus equation connecting d and t is d = 5t
2
when t = 6s, d = 5 x 6
2
= 5 x 36
= 180cm
© africaexams.com
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