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Mathematics 14 Online
OpenStudy (anonymous):

the distance d through which a stone falls from rest is proportional to the square of the time taken t. if the stone falls 45m in 3 seconds,how far will it fall in 6 seconds? how long will it take to fall 20m?

OpenStudy (mayankdevnani):

d=kt^2 45=9k,k=5 D=5(36)=180m 20=5t^2 4=t^2 t=2seconds.

OpenStudy (mayankdevnani):

ok @sarah_98

OpenStudy (anonymous):

whats ^?

OpenStudy (anonymous):

proportional?

OpenStudy (mayankdevnani):

ok any other method

OpenStudy (mayankdevnani):

plz wait

OpenStudy (anonymous):

ok

OpenStudy (mayankdevnani):

s = ut + (1/2)(at^2); u = 0 as stone is dropped from rest. Therefore, s = (1/2)(9.81)(6)^2, acceleration due to gravity is 9.81. --> s = (4.905)(36) = 176.58m = 177m to 3 s.f. -----> answer 1 let s = 20 --> 20 = (4.905)(t)^2 --> (t)^2 = (20)/(4.905) = 4.077 --> t = square root of (4.077) --> t = 2.019 sec = 2.02 sec to 3 s.f. -----> answer 2

OpenStudy (mayankdevnani):

am i right @jiteshmeghwal9

OpenStudy (jiteshmeghwal9):

yup! u r always right dude :)

OpenStudy (anonymous):

thanks

OpenStudy (mayankdevnani):

thnx... ok welcome

OpenStudy (anonymous):

okay one question..

OpenStudy (mayankdevnani):

post it

OpenStudy (anonymous):

whats ^

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