Question

differentiate scalar to vector quantities, distance and displacement, speed and velocity.
I already have for scalar and vector

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

Answer 1

please also define reference frame.

Answer 2

just take it like that
one thing is having just a value like your mass is suppose 50 kg its is scalar as it does not have any direction
and on the other hand weight is 51 kg on earth which is always downward

Answer 3

what is magnitude?

Answer 4

now come to the distance and displacement
take the measuring tape n note the length u traveled in whichever direction u want thats the distance from starting point to the end
, now just jump from the starting point to the end point where u stopped it has only one direction n thats displacement a vector quantity

Answer 5

the magnitude is scalar as it only have the value

Answer 6

Well, if you know the difference between a scalar and vector, you should automatically be able to realize that speed for example is a scalar. You can read the speed of your car on the spedometer, but you are traveling in a specific dirrection with a certain speed so velocity, therefore it is a vector quantity. Same thing goes for distance, you can say that the distance between New York and DC is x number of miles. Where as displacement covers direction as well. The displacement between New York and DC is x number of miles in the south, south direction.

as for Reference frame, say you and a friend are in two cars, your friend is traveling a velocity of V1, and your car is standing on the side of the highway. and you call her on the phone to ask her if someone who passed speeding was actually speeding. She will say that the persons Velocity is lower than you think. this is the idea of a reference frame: If she is not careful she will forget that she is traveling at V so inreality the person's speed is the one she says and her speed added together. You are standing still in one frame, but someone else traveling a velocity V will observe the same motion at different speed.

As for magnitude. It depends on what context. There are very different meanings to magnitude in physics and astronomy.

Answer 7

in case of speed and velocity just apply the same idea
speed is scalar and velocity is vector though they have same value for a single body travelling

Answer 8

physics

Answer 9

The Magnitude of a vector is a scalar quantity, ie is is just a number. say you have a vector a=x+y+z, the magnitude of A would be sqrt(x^2+y^2+z^2)

Answer 10

could you differentiate it with a meaning?

Answer 11

i have already

Answer 12

you can't really the meaning of the magnitude is given it's mathematical definition. In relatiy there is not an actual meaning to it. It is mathematical quantity not a physical quantity. you think of it as the length of the vector:

Answer 13

speed is the measure of how fast something is moving while velocity is speed of an object in given direction.
e.g.
velocity, 60 mph in east direction
speed, 60 mph

Answer 14

is this correct?

Answer 15

ya its right

Answer 16

yes that is exactly correct.

Answer 17

how about for displacement and distance?

Answer 18

let me start from the beginning....

SCALAR & VECTOR
Scalars are quantities that have magnitude only (i.e. only numerical value) and are independent of direction. (e.g. time, speed, temperature, and volume)
Vectors have both magnitude and direction. The length of a vector represents magnitude. The arrow shows direction. (e.g. velocity, acceleration, momentum)

DISTANCE & DISPLACEMENT.
The total length of the path covered by a body when it moves it called distance. Here we just take into consideration the length of the path irrespective of the direction in which the body moves. Hence it is a scalar quantity.

Displacement is the length of the path between the initial position of the body and the final position of the body. It is a vector quantity as it takes into consideration the direction of the motion.

<--------------70m---------------><-----30m------->
A---------------------------------C-----------------B
<-------------------------100 m-------------------->

In the above figure when you move from A to B
then distance is 100m
displacement is 100m East.

However, if you move from A to B and then to C
distance = total length of the path covered
= AB + BC = 100m + 30m = 130m
but
displacement = length of path between Initial Position A and final position C
(you can clearly see that it is 70m)
displacement = AC = AB - BC = 100m -30m (because direction is opposite)
= 70m East

Answer 19

SPEED & VELOCITY

SPEED is a scalar quantity and is defined as the distance covered per unit time. We can say that speed is rate of change of distance with time Here we do not consider the direction of travel.

VELOCITY is a vector quantity and is defined as the displacement per unit time. Here we do consider the direction of travel. Velocity is the rate of change of displacement with time.


<--------------70m---------------><-----30m------->
A---------------------------------C-----------------B
<-------------------------100 m-------------------->

We again consider the case when u move from A to B. Let us say u cover this distance in 10 seconds.

speed = distance/time = 100m/10s = 10 m/s
velocity = displacement/time = 100m/10s = 10m/s

Now consider the case when you move from A to B to C, with time taken from A to B as 5 seconds and from B to C as 2 seconds.

speed = distance/total time = 130m/7 s = 18.57 m/s (rounded off)
velocity = displacement/total time = 70m/7s = 10 m/s

Answer 20

Hope this clears it for you..........