Wm \"Him In Quostions 1 Ii, om donotos tho acceleration function, 110'] tho volooity function, and 313*} tho position or hoight function at tinio t. Tho aoooloration duo to tho grati'itgtr is 32 fh'sooz. l. 2. Irh[t)=-tt1 and v[1)=4,ndthefonnu1afatv[t]. If h[t) =1ot3 -st, tr(o) =0, and 3(4): 2, a] nd tho formula for 313]. b} ovaluato am}. A stono is thrown straight up from tho top of abuilding with initial volooity of 40 stoo and hits tho ground 4 soo lator. a] What is tho boigbt hfthh building? b} What is tho spood of tho stono whon it hits tho ground? o] What is tho maximum hoight roaohod by tho stono? In ll] so: a car aoooloratos 'om to fit] mph {60 mph: 33 fsoo]. Iftbo aoooloration oftho oar is constant what distanoo, in foot, is tho oar passing in thoso l soo't'r A stono is thrown at atargot so that its 1trolooityaftor I so: is v(t}=1t+lm. Iftho stono hits tho targot in 1 sooI what is tho distanoo 'om tho sling to tho targaot't'r What should tho initial volo-oity bo if you want an objootI launohod 'orn tho ground, to roaoh thohoight of ll] 11'? A wator balloon droppod from a oortain building .I' socond aor it is drppd, it has a hoight givon by M1} = EDI] 4.912 motors. What is tho volo-oity of tho balloon 3 sooonds aor it is droppod'? {Bo suro to givo propor units with your answer}. Steps fur anlvlng a separable equann gm 1." = 111}: Rewte in dierential fem: 3111:] 11y =x} 1i: Integrate each side: Ig[y]a}* =If{x}1it Findantiderivativee nfgand GU) =F[x] + (H: '=3 and F' =f] If an initial 11.1a111e (rt... 3.4.3} is given. put the values furxg 11111111.] intu F and G and eelve fer C. . If Feasible. expljeijr salve fer y. PWPL\" Ln Salve tl1e {allowing differential eqaaane algebraically {15 31}. 15. =1: 115. =x2+9 .1: .1: in: 111' 1'1. =.1 111. _2 .1: y .1: y 1: iv . 19. -= 111 m=e .1: I? .1: y a? if 11-. = +1 21-. = - .1: .v .1: 1:1 .1 13. 592% 24. [12+]}y'2xy :5. i=1\"? 111. EJM .1: .1: .1"? w .1 {I}? 1 11. = 211. = .1: my .1: _:-3