This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ME218 Homework 2 Solution Problem1. (a). = represents a purely vertical shot while 2 = represents purely horizontal shot. Hence, we would expect the shot angle to be somewhere in the interval 2 , otherwise the ball will move backward or downward. (b). Let 2 2 9.81 35tan( ) 35 2 ( ) 800[cos( )] y f = + = Then, for 2 2 9.81 0, (0) 35tan(0) 35 2 13.02 800[cos(0)] L f = = + = and for 2 2 9.81 , ( ) 35tan( ) 35 2 2 2 2 800[cos( )] 2 R f = = + At the middle point , 4 m = 2 2 9.81 ( ) 35tan( ) 35 2 6.96 4 4 800[cos( )] 4 f = + = Obviously, the function changes sign at both the left and right subintervals, which means that there will be a solution in each of those subintervals. Even though it is ok if you followed up on just one subinterval, we will give you solutions for each of the subintervals....
View
Full Document
 Fall '08
 Unknown
 Rootfinding algorithm

Click to edit the document details