Answer:
The correct option is A)
Displacement: 6.71 m, Direction: 63.4 degrees north of east
Explanation:
Given that Dante is leading a parade across the main street in front of city hall.
Let, Initial location of parade is 0i+0j
One block of city is one units on the XY- graph
Statement 1: Parade marches the parade 4 blocks east, then 3 blocks south
New location of parade is 4i-3j
Statement 2: The parade marches 1 block west and 9 blocks north and finally stops.
Final location of parade is (4i-3j)+(-1i+9j)=3i+6j
Displacement is given by
Displacement = (Final destination)-(Initial destination)
Displacement = (3i+6j)-(0i+0j)=3i+6j
Thus,
Magnitude of displacement = ![\sqrt{3^{2}+6^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E%7B2%7D%2B6%5E%7B2%7D%7D)
= 6.71 m
Direction of displacement = ![tan^{-1}(\frac{Y}{X} )](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%28%5Cfrac%7BY%7D%7BX%7D%20%29)
= ![tan^{-1}(\frac{6}{3} )](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%28%5Cfrac%7B6%7D%7B3%7D%20%29)
= 63.43 NE
Therefore, the correct option is A) Displacement: 6.71 m, Direction: 63.4 degrees north of east