How do you calculate speed and velocity?
Speed is a scalar quantity which means it has magnitude only but no direction and velocity is a vector quantity which means it has both magnitude and direction.
Speed can be defined as the rate of change of distance travelled by a body which means, that how much time does a particular body is taking to cover some specific amount of distance. Therefore, speed can be calculated as:-
SPEED= DISTANCE/TIME [which means distance divided by time]
As, distance is a scalar quantity, that is why speed is also a scalar quantity.
Velocity can be defined as the rate of change of displacement of the body which means, that how much time does the body takes to displace itself from one position to another. It can be calculated as:-
VELOCITY= DISPLACEMENT/TIME [ Which means displacement divided by time]
As, displacement is a vector quantity, that is why velocity is also a vector quantity.
Also, both velocity and speed have the same S.I units, that is m/s [metres per seonds] because the S.I units of both displacement and distance is meters.
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Speed is calculated by dividing the distance traveled by the time taken. Velocity, on the other hand, is calculated by dividing the displacement (change in position) by the time taken.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- An object is at rest at #(1 ,2 ,9 )# and constantly accelerates at a rate of #1 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- A lion accelerates from rest at a rate of #4.2# #m##/##s^2#. How far has the lion gone after #4# seconds?
- What is the speed of an object that travels from #( 8 , 4, 1 ) # to #( 6 , 0, ,2 ) # over #2 s#?
- If a projectile is shot at an angle of #pi/4# and at a velocity of #16 m/s#, when will it reach its maximum height??
- An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 48KJ# over #t in [0, 9 s]#. What is the average speed of the object?
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