physics 12c\nch01a & 01a uniform motion assignment\nname: joigh rojrosl\na - bugs and lola are 30 m w of the…

physics 12c\nch01a & 01a uniform motion assignment\nname: joigh rojrosl\na - bugs and lola are 30 m w of the stop sign which is their reference point. they hop 10 m west to the boulder, then 100 m east to the well, and then finally 40 m west to the rabbit hole. find their distance and displacement. where is the boulder, the well and the rabbit hole located relative to the stop sign.\n

physics 12c\nch01a & 01a uniform motion assignment\nname: joigh rojrosl\na - bugs and lola are 30 m w of the stop sign which is their reference point. they hop 10 m west to the boulder, then 100 m east to the well, and then finally 40 m west to the rabbit hole. find their distance and displacement. where is the boulder, the well and the rabbit hole located relative to the stop sign.\n

Answer

Explanation:

Step1: Define distance

Distance is the total length of the path traveled. $d = 10+100 + 40=150$ m

Step2: Define displacement

Displacement is the straight - line distance from the initial to the final position. Initial position is 30 m west of the stop sign. After moving 10 m west, 100 m east and 40 m west. Let west be negative and east be positive. Initial position $x_0=- 30$ m. $x_1=-30 - 10=-40$ m (after moving 10 m west) $x_2=-40 + 100 = 60$ m (after moving 100 m east) $x_3=60-40 = 20$ m (after moving 40 m west) Displacement $\Delta x=x_3 - x_0=20-(-30)=50$ m east To find the location of the boulder: Initial position is 30 m west of stop - sign, move 10 m west, so the boulder is $30 + 10=40$ m west of the stop sign. To find the location of the well: Starting from 30 m west of stop - sign, move 10 m west to boulder then 100 m east. So the well is $30+10 - 100=-60$ m, i.e., 60 m east of the stop sign. To find the location of the rabbit hole: Starting from 30 m west of stop - sign, move 10 m west, 100 m east and 40 m west. So the rabbit hole is $30+10 - 100+40=-20$ m, i.e., 20 m east of the stop sign.

Answer:

Distance: 150 m; Displacement: 50 m east; Boulder: 40 m west of the stop sign; Well: 60 m east of the stop sign; Rabbit hole: 20 m east of the stop sign