Question

Solve for d

As part of a circus performance, a man is attempting to throw a dart into an apple which is dropped from an overhead platform. Upon release of the apple, the man has a reflex delay of 205 milliseconds before throwing the dart. If the dart is released with a speed Vo = 16 m/s, at what distance d below the platform should the man aim if the dart is to strike the apple before it hits the ground? HO 8.0 m 1.85 m 12.1m

Answer 1

Iyurin vefler. Timu : 20s XIU se Vo : 16 m/s 0.2 d. V. sin o V. S.95 - x vocoio 1.85m 1.85m + 12.1 m Syuin refleu Lims Aiitoni traulbdy offli ly that 20 5xio time ut 0:20s I* 9.31 * 2. 0.20s 0-2 m Saffere 8 it reahy the affle at that Jime tom tao to t, traulbed dy affle ii x meon leay the arrow at f= 0 Im Distone ut, + at 4.81x0.205 1 2, +,9.81x5, anher

distonu b/w men 8 line of fall guren - Distonie : ud y Lime Aurow will be wovereng horigontal ditone e 12.1 in t, dime Vo coLo.I, = 12.1 V, height reached by Vertical time t, lirll be 5.9 5 - x ut + 1 5.95-x = 16 seimo I, x 9. 81 t, -jv sign Hering gravity in motion the 5.95- x = 16 sin o I, -x9.81.$, squat " O Lolerng 16 t, sin o 5.95 12 1 16 cos o

Replorung 3,, w get. 5.95 12.1 5.95 12 1 3. ৭3५ 3. १3 ५ |- sin o 3.934 (1a+1) 3.934 (1-a*). =.(4a+i + 16 a 15:476 (1-a?) .IS.47( - 1S.476. a - (4a+1 +J A 7 9. 476 a +160 -14: 476 - 0. 539 0:3378, Ics Scanned wid CamScanner

0: 3318 19.743 for 19. 743 12 -1 S19.743 P - 4. 34 3 m d + P 8 -1- 25-4.343 1.8.07 m Thus thi man should when it is the Janget affle ute initial fortion 1.807 m bloi eS Scanned with CamScanner