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中4數學1條

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1, in a thunderstom,the time (t s)between the flash of lighting and the thunder you hear varis directly as the distance (d km)apart from the lighting. it takes 12seconds for you to hear the thunder from lighting that is 5km away(a) Find an equation connecting d and t.(b)How long does it take for you to hear the... 顯示更多 1, in a thunderstom,the time (t s)between the flash of lighting and the thunder you hear varis directly as the distance (d km)apart from the lighting. it takes 12seconds for you to hear the thunder from lighting that is 5km away (a) Find an equation connecting d and t. (b)How long does it take for you to hear the thunder from lighting that is (1) 3km away (2) 8km away (c)How far away is the lighting if the time between the thunder and lighting is only 1second?

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(a) As (t s) varies directly as the (d km), Let t = k d, where k is a constant it takes 12seconds for you to hear the thunder from lighting that is 5km away t = k d 12 = k (5) k = 12/5 = 2.4 therefore, t = 2.4 d or t = (12/5)d (b) (1) d = 3 km as t = 2.4 d t = 2.4 (3) t = 7.2 therefore, it takes 7.2 seconds for me to hear the thunder from the lighting that is 3km away (2) d = 8 km as t = 2.4 d t = 2.4 (8) t = 19.2 therefore, it takes 19.2 seconds for me to hear the thunder from the lighting that is 3km away (c) t = 1 as t = 2.4 d 1 = 2.4 d d = 1/2.4 d = 0.417 (correct to 3 decimal space) therefore, the lighting is 0.417km away if the time between the thunder and lighting is only 1 second

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