Ron the Mouse travels 80 centimeters north and then 150 centimeters east.
Let d be the distance traveled by Ron the Mouse and s be the magnitude of the displacement of the mouse.
Find the value (in centimeters) of d − s .
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ok. i got it.
I used the same method to find the answer.
The Distance travelled by Ron the Mouse is 8 0 + 1 5 0 = 2 3 0 Centimeters. By the Pythagorean Theorem we get that the magnitude of Displacement of Ron the Mouse is 170 Centimeters. therefore the difference of the 2 is 2 3 0 − 1 7 0 = 6 0
how is the displacement equal 170 ?
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Pythagoras
root (150^2+80^2)
That's some nice work you did there :)
Displacement is diagonal it is 170 so difference is 150+ 80 – 170 = 60 cm
The distance traveled=d=80+150=230cm
The magnitude of displacement=sq.rt.((150)^2+(80)^2) = 170cm
Therfore, d-s=60
wao........this type pf Questions ...I love it
s = 50 + 80 = 230 d = (50² + 80²)^1/2
s - d = - 60 d - s = 60
there is a error in the problem
distance taken = 230 displacement= 150
d-s= 60
80+150=230 cm = d 170cm= s so d-s = 230-170= 60 cm
total distance traveled (d) = 80 +150 = 230 cm,
displacement (s) = (80^2+150^2)^(1/2) = 170 cm,
d-s = 230 -170 = 60 cm
sq rt [ (80)^2 + (150)^2 ] - (170)= 60 cm
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Distance ( d ) = 8 0 + 1 5 0 = 2 3 0 cm
By Pythagoras theorem we can find the displacement:
s = 8 0 2 + 1 5 0 2
s = 6 4 0 0 + 2 2 5 0 0
s = 2 8 9 0 0
s = 1 7 0 cm
So, the answer is: d − s = 2 3 0 − 1 7 0 = 6 0 c m