Ответ:v(π/3)=3/8 м/с.
Объяснение:
s=-3*cos((t/4)+(π/12))+10
v=s'=(-3*cos((t/4)+(π/12))+10)'=3*sin((t/4)+(π/12))*((t/4)+(π/12))'=
=3*sin((t/4)+(π/12))*(1/4)=
v(π/3)=3*sin((π/(3*4))+(π/12))/4=3*sin((π/12)+(π/12))/4=
=3*sin(π/6)/4=3/(2*4)=3/8.
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Ответ:v(π/3)=3/8 м/с.
Объяснение:
s=-3*cos((t/4)+(π/12))+10
v=s'=(-3*cos((t/4)+(π/12))+10)'=3*sin((t/4)+(π/12))*((t/4)+(π/12))'=
=3*sin((t/4)+(π/12))*(1/4)=
v(π/3)=3*sin((π/(3*4))+(π/12))/4=3*sin((π/12)+(π/12))/4=
=3*sin(π/6)/4=3/(2*4)=3/8.