Question

ab 25 ses/852698 zzes/1743243/take Let f" (Z) = 28.77, f (8) = 333, and f (8) = 999. Find f (x). 12pt v Paragraph B I y Avev TPU . / Owords </> Question 4 25 pts The function that models the acceleration of a particle is a (t) = t + 5t - 16. Find the general function for the particle's position. Use for the constant of the first antiderivative and for the constant of the second antiderivative.) 12pt Paragraph BI VA 2 se +5t - 16da Sr'da + 5xdx - 16dx -$+52-160+ + -16x + c MacBook Air

Answer 1

(11 = 28372 integrate worot 'x' Sr" a) di = | 28 370 dx .. f'(2) = 28 Ja'da ti 2 28 28 2413 è 413th, 22**32"Ite; Fla) = 21 93 +ci giren f. 1872 333 athar f'(8) = 2118) 4/3 +41 333 = 21 x 24 & 333 =21x16 + c 333 : 336 + c

= 333-321 G=-3. Now Subsituting & iDeal falz uxs-3. intearate wirrt a If carda a S/212433) di f(1) = 20 Jata da 3 Sluda Ž 21 ale - 32 te ti 221 & 3 31 te 43 = 2 x -34G #13 = 3x3 9 / 30 32 t2 f(t) 29x713 - 37 + C2 - given f (8) = 999 at it F18)= 910995. 3(6) ter

999 = 9 (28) 2/3 _ 24 +22 q992 9 x 2"-24 +6g nou ax 128 12. = 129 sub situ ting eginea ① 013 BX- 129 falz qt =