Answer:
a) 48
b) 64
c) 80
d) 96-16h
Step-by-step explanation:
a) s(1)=112 and s(4)=256
average velocity on [1,4] = (256-112)/(4-1) = 48
b) s(1)=112 and s(3)=240
average velocity on [1,3] = (240-112)/(3-1) = 64
c) s(1)=112 and s(2)=192
average velocity on [1,2] = (192-112)/(2-1) = 80
the next one's tricky to type. watch the parentheses carefully:
d) s(1)=112 and s(1+h)= -16(1+h)^2 + 128(1+h)
average velocity on [1,1+h] =
(s(1+h) - s(1))/((1+h)-1) = (-16(1+h)^2 +128(1+h) - (112))/h
= (-16(1+2h+h^2)+128+128h - 112)/h
= ( -16 -32h -16h^2 + 16 + 128h)/h
= ( 96h - 16 h^2)/h
= 96 - 16h
