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Question
Make g the subject of the formula v2 = u2 - 2gh. Find g, when v = 9.8, u = 41.5 and h = 25.4.
Solution
v2 = u2 - 2gh
⇒ 2gh = u2 - v2
⇒ g = `("u"^2 - "v"^2)/(2"h")`
Substituting the values of v = 9.8, u = 41.5 and h = 25.4.
g = `(41.5^2 - 9.8^2)/(2 xx 25.4)`
= `((41.5 + 9.8)(41.5 - 9.8))/(50.8)`
= `(51.3 xx 31.7)/(50.8)`
= 32.01
= 32.
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