Green Roof

direction). 41. The positions of the cars as a function of time are given by 1 1 xr (t ) = xr 0 + ar t 2 = (−35.0 m) + ar t 2 2 2 xg (t ) = xg 0 + vg t = (270 m) − (20 m/s)t where we have substituted the velocity and not the speed for the green car. The two cars pass each other at t = 12.0 s when the graphed lines cross. This implies that 1 (270 m) − (20 m/s)(12.0 s) = 30 m = (−35.0 m) + ar (12.0 s)2 2 which can be solved to give ar = 0.90 m/s 2 . 42. In this solution we…

(e) How long does it take for Q (t ) to be reduced to 10 g? (f) Plot Q (t ) versus t for 3 years. 15. Your swimming pool containing 60,000 gal of water has been contaminated by 5 kg of a nontoxic dye that leaves a swimmer’s skin an unattractive green. The pool’s filtering 3 This equation results from Kirchhoff’s laws, which are discussed later in Section 3.8. 17 1.3 Classification of Differential Equations system can take water from the pool, remove the dye, and return the…

him off for his undoing from all the tribes of Israel, with all the curses of the firmament which are written in the Law * * * And we warn you that none may speak with him by word of mouth nor by writing, nor show any favor unto him, nor be under one roof with him, nor come within four cubits of him, nor read any paper composed by him.'" (Pollock: Life of Spinoza.) "As the blasting words were uttered, the lights were all suddenly immersed in the blood, a cry of religious horror and…

direction). 41. The positions of the cars as a function of time are given by 1 1 xr (t ) = xr 0 + ar t 2 = (−35.0 m) + ar t 2 2 2 xg (t ) = xg 0 + vg t = (270 m) − (20 m/s)t where we have substituted the velocity and not the speed for the green car. The two cars pass each other at t = 12.0 s when the graphed lines cross. This implies that 1 (270 m) − (20 m/s)(12.0 s) = 30 m = (−35.0 m) + ar (12.0 s)2 2 which can be solved to give ar = 0.90 m/s 2 . 1. A vector a can be…