A truck travels 14 blocks north, 16 blocks east, and 26 blocks south. What is its final displacement from the origin (magnitude and direction)? Assume the blocks are equal length.
2007-08-29 17:34:53 · 2 answers · asked by mai t 1 in Science & Mathematics ➔ Physics
14 block noth is negated when it goes 26 to the south so 26 - 14 = 12. It also travels 16 block East. If you draw it we get a simple triangle with one side of 16 and another of 12.
Path Theorm
12^2 + 16^2 = X^2
400=x^2
SR of 400 = x
x = 20
It has been displaces 20 units
2007-08-29 17:51:36 · answer #1 · answered by Anonymous · 0⤊ 0⤋
To do this, treat each pair of opposite directions together. Then you wind up 12 blocks south and 16 blocks east. The displacement is (of course) 20 blocks [3-4-5], and the direction is appx 36 degrees south of east (more exactly sin-1(0.6) )
2007-08-29 17:57:29 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋