Question

(8) The velocity of a car is given by v(t) = -9t- + 16t -9. Dodo bno (a) (8pts) Find the acceleration function.in (b) (8pts) Find the position function s(t) if the initial position is s(0) = 0.

Answer 1

we know, it Blt)= position function vtt) = velocity function. then slt)ault and it alt) in all elaration function then vlt) = alt) or 8"(t)- wilt)- alt). Here vlt) = -9 +²+ 16t- 9. accelaration function. a (t) = wilt) = rate of Change of vele adu dt

= 9(2+) + 16 Talts -187 + 16
b.
for position function slt) as ŚW) = alt) it. ds = -97' +167-9 d8= {9+² +16+-g]dt on integrating s(t)= (-9+2 + 16+-9) dt = – 973 + 16th - qt to where cis integrating. s60)=0 - Toa) Coretan os

slt) – 3 t3 + 8t - 9t
please rate of you happy with my explanation.