maths - variation
2011-07-20 10:38 pm
1. If V varies directly as m , and m varies directly as t, show that1.1 V varies directly as t1.2 (V+m) varies directly as t
回答 (1)
2011-07-20 11:19 pm
✔ 最佳答案
1.V ∝ m
Hence, V = k1m ...... (1)
where k1 is constant.
m ∝ t
Hence, m = k2t ...... (2)
where k2 is constant.
Refer to (1) and (2) :
V
= k1m
= k1(k2t)
= k1k2t
= constant x t
Since V = constant x t,
V ∝ t
=====
2.
Refer to (1) and (2) :
V + m
= k1m + k2t
= k1(k2t) + k2t
= k1k2t + k2t
= (k1k2 + k2)t
= constant x t
Since (V + m) = constant x t,
(V + m) ∝ t
參考: 土扁
收錄日期: 2021-04-13 18:06:33
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