Calculate the velocity of the particle at t=4.0 s.

In summary, a 2.0 kg particle with a velocity of -6.0 m/s along the x-axis experiences a net force of 3t^2 - 12t between times t=0 and t=4.0 s. Using the formula a=force/mass, the velocity of the particle at t=4.0 s can be calculated by plugging in t=4.0 s and m=2.0 kg. However, there may be confusion as to why the mass is divided by 4 in the formula.
  • #1
student000
7
0
A 2.0 kg particle is moving along the x-axis to the left with a velocity of v= -6.0 m/s. Suddenly, between times t =0 and t = 4.0 x a net force = 3t^2 – 12t is applied to the particle, where F is in N and t is in s. Calculate the velocity of the particle at t=4.0 s.
I am having trouble making the numbers work. Thanks
 
Physics news on Phys.org
  • #2


Well, what have you tried so far?
 
  • #3


Someone told me to use this formula but I don't understand why the 4 is in the first equation because the mass is 2 kg
 
  • #4


Sorry, the formula is
a= force/mass= (3t^2-12t)/4

Why is there a 4?
 

FAQ: Calculate the velocity of the particle at t=4.0 s.

What is the formula for calculating velocity?

The formula for calculating velocity is v = (xf - xi) / (tf - ti), where v represents velocity, xf is the final position, xi is the initial position, tf is the final time, and ti is the initial time.

How do you determine the final and initial position of a particle?

The final and initial position of a particle can be determined by observing its movement or trajectory. For example, if the particle is moving along a straight line, its position can be measured at two different points along the line, with one point being the final position and the other being the initial position.

What units are used for velocity?

The standard units for velocity are meters per second (m/s) in the metric system and feet per second (ft/s) in the imperial system. However, any units of distance over units of time can be used to express velocity.

What does a positive or negative velocity indicate?

A positive velocity indicates that the particle is moving in the positive direction, while a negative velocity indicates that the particle is moving in the negative direction. The direction is determined by the chosen coordinate system.

Can velocity be calculated at any given time?

Yes, velocity can be calculated at any given time as long as the initial and final positions of the particle are known and there is a change in position over a given time interval.

Back
Top