Not at all. If it slows down or speeds up at any point, then it'll have different instantaneous
velocity at different points, and its average velocity for some section of the line can be yet
another different number.
Simple example:
A guy drives home from the office at a steady speed of 35 miles per hour.
On the way, he stops buy a soda.
His instantaneous velocity is zero during the stop, and 35 miles per hour
whenever he's moving.
His average velocity for the trip home is more than zero, and less than 35 miles per hour.
That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.
Because squaring a velocity removes its sign. A velocity may be negative, but it's square is always positive. If two velocities are +5 and -5, their average is zero. But both squares are +25, so the average square is +25.
It depends on the sign of velocities. For example, if there are two velocities 7 and -7 m/s then the average velocity of the molecules will be 0. But, the square will be 49. The general thing here is that even if a velocity is negative, the square of EVERY velocity irrespective of the sign is positive i.e., squaring always removes the negative sign.
Is this a question? or a statement that you are unsure of? Well anyways, this would be correct if acceleration was a constant but if acceleration is not a constant, the (not-constant) acceleration would change the rate of velocity and thus that statement/question would be false.
A velocity potential is a scalar function whose gradient is equal to the velocity of the fluid at that point. If a fluid is incompressible and has zero viscosity (an ideal fluid) its velocity as a function of position can always be described by a velocity potential. For a real fluid this is not generally possible.
Velocity is always a scalar, instantaneous or average doesn't matter.
That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.
If a 5 mile stretch of a bus journey lasts 15 minutes, then the average speed over this stretch was 20mph. But undoubtedly the bus achieved greater speeds than this, and it also spent time sitting still in queues. So the simple answer to the question is 'yes'. Less trivially and more interestingly: unless velocity is actually constant, then an object's average velocity over a finite time interval - and hence any empirical measurement of its speed - must (nearly always) differ from the instantaneous velocity. As the time period grow closer to zero, the measured velocity will converge on the instantaneous figure, but will never reach it.
To obtain the average velocity from a displacement-time graph, you can calculate the slope of the line connecting two points on the graph. Divide the change in displacement by the change in time. To obtain the instantaneous velocity, you need to find the slope of the tangent line at a specific point on the graph. Choose a point on the graph and draw a line tangent to the curve at that point. The slope of this tangent line will give you the instantaneous velocity at that specific point.
yes
Always.
Because speed is the magnitude of the velocity vector. The velocity consists of the speed and the direction, and the whole thing can be embodied in a 3D vector. If you like the velocity is the magnitude (the speed), which is a scalar (just a real number), multiplied by a unit vector in the right direction.
the motion at that instant
donkeys is the clue
Speed has only size. Velocity has size and direction.If three drivers are driving their cars at 50 mph headed north, 50 mph headed south, and50 mph headed east, their speeds are all equal, but their velocites are all different.Instantaneous speed is the speed at an instant in time. A point on the edge of an LP record hasthe same instantaneous speed whenever you look at it.Instantaneous velocity is the velocity ... speed and direction ... at an instant in time. A point on theedge of an LP record has a different instantaneous velocity every time you look at it. Even thoughthe speed is always the same, the direction keeps changing.
Velocity is proportional to elapsed time when motion is in a straight line and acceleration is constant.
I think it is cuz speed is velocity it's just a vector (more difficult name)