A mouse runs 3 m east and 4 m north in 5 seconds . What is the magnitude of the mouse's average velocity during its run in m/s ?
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VELOCITY related with displacement and given by phythagoras thm and devided by the given time.
y we use phythagoras theorem?
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We must find the net displacement, a vector quantity like velocity, rather than distance, which is a scalar.
EDIT: misread
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Because he can't walk in two direction. So phythagoras.
thanks daniel
Too easy don't do this
In order to solve this problem, we need to find out the distance covered by the mouse. As it runs 3 m eaat and 4 m, the total distance covered by it can be found by using Pythagoras theorem. he runs a total of 3 2 + 4 2 = 9 + 1 6 = 2 5 = 5 m So, the magnitude of the mouse's average velocity = T i m e D i s p l a c e m e n t = 5 5 = 1 m s − 1
Use Pythagore 's law : x = \sqrt{3^2 + 4^2 } = 5 (m ) v =\frac {s}{t} = \frac {5}{5} = 1
The length covered by the mouse = 3 2 + 4 2 = 5 . So, the average velocity = 5 5 = 1 m / s .
As velocity is a vector quantity,so,its formula is displacement/time.Displacement is the shortest distance between two points in a specific direction,so according to pythogoras theorem,the displacement between two points is 5.Thus ,the velocity is 5/5=1
Average=3+4/2=3.5 Time given=5s To find Magnitude=average/time(s) Magnitude=3.5/5s=0.7 nearly equal to 1=1ans
by phythagoras theorem,you will get s=hypotenuse,where s^2=3^2 + 4^2,s=5m,
then by applying v=s/t=5m/5s=1m/s...
the net displacement of the mouse is sqrt( 3sqr + 4sqr ) = 5 metres the time taken is 5 seconds. thus velocity of mouse is 5m/5s= 1 m/s
H² = c'² + c"² \* H² = 3²+4² \* H=5m \* v=s/t \* v= 5\5 \* v=1
net displacement=sqrt( 3^2+4^2)=5 . avg velocity = total displacement/total time= 5/5=1 m/s.
The mouse forms two sides of a right-angled triangle as it goes 3 m east and then forming a right-angle, turns to go 4 m north. Now, velocity = Displacement/time Hence the displacement = Average distance which can also be shown as the hypotenuse of the right - angled triangle formed. Hypotenuse = (By Pythagoras theorem) Square root of (3^2 + 5^2) which happens to be = 5 Hence, Displacement = 5 m and Time taken = 5 s (Given) So, velocity = 5/5 = 1
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Since east and north are perpendicular, the mouse runs 3 2 + 4 2 = 2 5 = 5 meters. Since velocity is t i m e d i s t a n c e , the average velocity is 5 s e c o n d s 5 m e t e r s = 1 s m