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Mallinina2000
@Mallinina2000
August 2022
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Помгите пожалуйста , срочно!
тело движется прямолинейно из состояния покоя и за шестую секунду проходит 15 м. Определите путь , пройденный телом за 6 секунд
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X(t)=a*t^2/2
x(t)-x(t-dt)=a*t^2/2-a*(t-dt)^2/2=a/2*(2t-dt)*dt
a/2=(x(t)-x(t-dt))/((2t-dt)*dt)
x(t)=a*t^2/2=(x(t)-x(t-dt))*t^2/((2t-dt)*dt)
x(6)=15*6^2/(2*6-1)=
49,(09)~49,1 м
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Answers & Comments
Verified answer
X(t)=a*t^2/2x(t)-x(t-dt)=a*t^2/2-a*(t-dt)^2/2=a/2*(2t-dt)*dt
a/2=(x(t)-x(t-dt))/((2t-dt)*dt)
x(t)=a*t^2/2=(x(t)-x(t-dt))*t^2/((2t-dt)*dt)
x(6)=15*6^2/(2*6-1)=49,(09)~49,1 м