Trying to Calculate Initial Velocity and Final Velocity

In summary, the process of calculating initial and final velocity involves using kinematic equations that relate displacement, time, acceleration, and velocity. Initial velocity refers to the speed of an object before any acceleration takes place, while final velocity is the speed after acceleration has occurred. Key formulas include \( v_f = v_i + at \) for final velocity and \( d = v_i t + \frac{1}{2}at^2 \) for displacement, where \( a \) is acceleration and \( t \) is time. Understanding these concepts is essential for solving problems in physics related to motion.
  • #1
rosephysics
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Homework Statement
Ball was released from a spring. I have the ball mass 0.15 kg, spring PE 0.15 J and spring compression 0.05 m. I have to find initial Velocity, initial KE, then initial momentum, final velocity, and final momentum.

I have data plots and I found the slope. (0.3860, 38.05) (0.5883, 38.05) Are the two points on the line.

I tried to calculate initial Velocity but I don't think I used the right formula.

This is all for a homework lab so I can't share the direct file/question. The lab is titled conservation of momentum.
Relevant Equations
I have to find initial Velocity, initial KE, then initial momentum, final velocity, and final momentum.
1/2 mv^2 kx^2
1.2(0.15)v^2 = 1/2 (3)(0.05)^2
0.075 v^2 = 0.00375
V^2 = 0 00375 / 0.075
V^2 = 0.05
Initial Velocity = 0.7071 m/s

I tried to calculate this one. I think for final velocity I should be using the slope? Any help would be appreciated thank you!
 
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  • #2
If you cannot share the original file with the question, you need to say more about what you did. "Ball was released from a spring" does not say much to me. You mention that the spring was compressed, OK, but then what? Was the mass shot straight up, straight down or at angle? You mention data plots. What did you measure? What did you plot? Surely you can share the plots.
 
  • #3
rosephysics said:
spring PE 0.15 J
How do you know?
rosephysics said:
1.2(0.15)v^2 = 1/2 (3)(0.05)^2
(Typo: 1/2 not 1.2)
Spring constant is 3N/m? That doesn’t match your compression and spring PE numbers.
 

FAQ: Trying to Calculate Initial Velocity and Final Velocity

What is the formula to calculate initial velocity?

The formula to calculate initial velocity (u) when you know the final velocity (v), acceleration (a), and time (t) is given by: u = v - at. You can also rearrange the kinematic equations based on the variables you have available.

How do I calculate final velocity?

Final velocity (v) can be calculated using the formula: v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. If you know the distance traveled (s), you can also use the equation v² = u² + 2as.

What information do I need to calculate initial and final velocity?

To calculate initial and final velocity, you typically need the following information: initial velocity (if known), final velocity (if solving for it), acceleration, time, and distance traveled. Depending on the scenario, not all of this information may be necessary.

Can I calculate velocity without knowing acceleration?

Yes, you can calculate velocity without knowing acceleration if you have enough information about the initial and final positions and the time taken. For example, you can use the average velocity formula: average velocity = (final position - initial position) / time.

What units are used for measuring velocity?

Velocity is typically measured in meters per second (m/s) in the International System of Units (SI). Other units can include kilometers per hour (km/h) or miles per hour (mph), depending on the context and region.

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