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Mathematics 19 Online
OpenStudy (anonymous):

A rock is thrown off of a 100 foot cliff with an upward velocity of 35 m/s. As a result its height after t seconds is given by the formula h(t)=100+35t-5t^2 what is the velocity after 6 seconds?

OpenStudy (amistre64):

-5t^2? thats a round off of 4.9 right

OpenStudy (amistre64):

100+35(6)-5(6^2) 100+ 210 - 5(36) 310 - 180

OpenStudy (anonymous):

that's the height :/

OpenStudy (amistre64):

should be, according to the equation

OpenStudy (amistre64):

130 meters or so

OpenStudy (amistre64):

your equation is off tho; 100 feet and traveling in meters aint gonna get you nothing but headache

OpenStudy (anonymous):

there's 2 parts to the problem, the first which is height (which = 130), second asking for velocity. That's the equation that I got =/

OpenStudy (amistre64):

130 feet ? or meters? if its feet we need to convert it

OpenStudy (amistre64):

if it starts at a cliff 100 meters up; then 130 is good

OpenStudy (amistre64):

the velocity is just the first derivative of position

OpenStudy (amistre64):

35-10t in this case; at t=6

OpenStudy (anonymous):

correct :]

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