Thus, one root is related to the other (generically labeled h'and h) by h'= H– h. Its numerical value is ' 40cm 10 cm 30 cm.h=−=(c) We wish to maximize the function f= x2= 4h(H– h). We differentiate with respect to hand set equal to zero to obtain4802dfHHhhdh=¡=orh= (40 cm)/2 = 20 cm, as the depth from which an emerging stream of water will travel the maximum horizontal distance. 65. (a) Since Sample Problem 14-8 deals with a similar situation, we use the final equation (labeled “Answer”) from it: 02for the projectile motion.vghvv=¡=The stream of water emerges horizontally (θ0= 0° in the notation of Chapter 4), and settingy– y0= –(H– h) in Eq. 4-22, we obtain the “time-of-flight” 2()2().tHhgg−−==−−Using this in Eq. 4-21, where x0= 0 by choice of coordinate origin, we find 02()22(
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.