What is the correct formula for calculating velocity?

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In summary, the values given represent the vertical part of a vector and to calculate velocity, the formula v=s/t is used for constant velocity motion. For accelerated motion, the formula v^2=u^2 + 2as is used, and in this case, the final velocity v is found to be 5.1m/s. The formula for average velocity is s/t, and this can also be used to find the final velocity v by solving for v using the values given. It is recommended to only use the formula v=s/t for constant velocity motion.
  • #1
whitestrat69
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ok just say you have these values:

s=1.3m
u=0ms
v=?
a=10
t=0.5099

Now these values represent the vertical part of a vector..

now to work out velocity it uses a formula, v=s/t, = 1.3/0.5099 = 2.55ms... which is incorrect.. .

but using this formula.. v^2=u^2 + 2as
Plug in all the values
v= 5.1ms

why does this occur? is the velocity formula (s/t) only used when an object is in linear motion??
 
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  • #2
v = s/t is only for constant velocity motion... ie when acceleration = 0.

for accelerated motion, you can say average velocity is s/t... but your question is asking for v which is final velocity...

you will notice that:

average velocity = (u + v)/2

s/t = (u+v)/2

2.55m/s = (0 + v)/2

gives v = 5.1m/s.

so you can think of it like that. But I recommend to only think of v = s/t for constant velocity motion...
 
  • #3
thankyou again!
 

Related to What is the correct formula for calculating velocity?

1. What is velocity?

Velocity is a measure of the rate at which an object changes its position in a specific direction over a certain amount of time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. How is velocity different from speed?

While both velocity and speed measure how fast an object is moving, velocity also includes the direction of the motion. Speed only measures the magnitude of the motion, regardless of direction.

3. How is velocity calculated?

Velocity is calculated by dividing the change in an object's position by the change in time: velocity = displacement / time. It is typically measured in meters per second (m/s) or kilometers per hour (km/h).

4. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement of an object divided by the total time taken, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity can change over time, while instantaneous velocity refers to a specific point in time.

5. How does velocity relate to acceleration?

Velocity and acceleration are related because acceleration is the rate of change of velocity. In other words, acceleration is the change in velocity divided by the change in time. If an object's velocity is changing, it is accelerating.

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