Question

INTEGRAIS
1) SENDO V (T)= 20 -4T

DETERMINE:
a) s, onde s0 = C= 100


B) S(10)=

Answer 1

$v(t)=20-4t \\ \\ s(t)= \int\limits^ {}v(t) \, dt \\ \\ s(t)= \int\limits^ {}(20-4t) \, dt \\ \\ s(t) = 20t-2t^2+C \\ \\ s(t)=20t-2t^2+100 \\ \\ s(10)=20.10-2.10^2+100=200-200+100 = 100$