what is meaning of speed and velocity
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speed
What's the difference between two identical objects traveling at different speeds? Nearly everyone knows that the one moving faster (the one with the greater speed) will go farther than the one moving slower in the same amount of time. Either that or they'll tell you that the one moving faster will get where it's going sooner than the slower one. Whatever speed is, it involves both distance and time. "Faster" means either "farther" (greater distance) or "sooner" (less time).
Doubling one's speed would mean doubling one's distance traveled in a given amount of time. Doubling one's speed would also mean halving the time required to travel a given distance. If you know a little about mathematics, these statements are meaningful and useful. (The symbol v is used for speed because of the association between speed and velocity, which will be discussed shortly.)
Speed is directly proportional to distance when time is constant: v ∝ s (t constant)
Speed is inversely proportional to time when distance is constant: v ∝
1
t
(s constant)
Combining these two rules together gives the definition of speed in symbolic form.
v = s
t
velocity
In order to calculate the speed of an object we need to know how far it's gone and how long it took to get there. A wise person would then ask…
What do you mean by how far? Do you want the distance or the displacement?
A wise person, once upon a time
Your choice of answer to this question determines what you calculate — speed or velocity.
Average speed is the rate of change of distance with time.
Average velocity is the rate of change of displacement with time.
And for the calculus people out there…
Instantaneous speed is the first derivative of distance with respect to time.
Instantaneous velocity is the first derivative of displacement with respect to time.
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector. Speed gets the symbol v (italic) and velocity gets the symbol v (boldface). Average values get a bar over the symbol.
average
speed
v = ∆s
∆t
instantaneous
speed
v =
lim
∆t→0
∆s = ds
∆t dt
average
velocity
v = ∆s
∆t
instantaneous
velocity
v =
lim
∆t→0
∆s = ds
∆t dt
What's the difference between two identical objects traveling at different speeds? Nearly everyone knows that the one moving faster (the one with the greater speed) will go farther than the one moving slower in the same amount of time. Either that or they'll tell you that the one moving faster will get where it's going sooner than the slower one. Whatever speed is, it involves both distance and time. "Faster" means either "farther" (greater distance) or "sooner" (less time).
Doubling one's speed would mean doubling one's distance traveled in a given amount of time. Doubling one's speed would also mean halving the time required to travel a given distance. If you know a little about mathematics, these statements are meaningful and useful. (The symbol v is used for speed because of the association between speed and velocity, which will be discussed shortly.)
Speed is directly proportional to distance when time is constant: v ∝ s (t constant)
Speed is inversely proportional to time when distance is constant: v ∝
1
t
(s constant)
Combining these two rules together gives the definition of speed in symbolic form.
v = s
t
velocity
In order to calculate the speed of an object we need to know how far it's gone and how long it took to get there. A wise person would then ask…
What do you mean by how far? Do you want the distance or the displacement?
A wise person, once upon a time
Your choice of answer to this question determines what you calculate — speed or velocity.
Average speed is the rate of change of distance with time.
Average velocity is the rate of change of displacement with time.
And for the calculus people out there…
Instantaneous speed is the first derivative of distance with respect to time.
Instantaneous velocity is the first derivative of displacement with respect to time.
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector. Speed gets the symbol v (italic) and velocity gets the symbol v (boldface). Average values get a bar over the symbol.
average
speed
v = ∆s
∆t
instantaneous
speed
v =
lim
∆t→0
∆s = ds
∆t dt
average
velocity
v = ∆s
∆t
instantaneous
velocity
v =
lim
∆t→0
∆s = ds
∆t dt
Answered by
2
Question:-
what is meaning of speed and velocity
speed:-
Speed is the distance traveled per unit of time. It is how fast an object is moving. Speed is the scalar quantity that is the magnitude of the velocity vector. It doesn't have a direction. Higher speed means an object is moving faster.
Velocity:-
the free encyclopedia. Velocity is a measure of how fast something moves in a particular direction. To define it needs both magnitude and direction. If an object moves east at 9 metres per second (9m/s), then its velocity is 9 m/s to the east.
hope it helps you..
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