Final velocity, three forces, time, mass and velocity given

In summary: Add up the changes in v for each time interval to find the final velocity.In summary, a small robotic spacecraft with a mass of 145kg is initially moving in the +x-direction at 0.150 m/s. Its x-axis thruster exerts a force of -5.00 N during 0s<t<1.5s, -9.00 N during 1.5s<t<3.25s, and -6.00 N during 3.25s<t<4.00s. When the thruster stops firing at t=4.00s, the spacecraft's final velocity can be found by using F= ma to find the acceleration and then v= v0+ at
  • #1
want2learn
1
0

Homework Statement


A small robotic spacecraft (m= 145kg) is initially moving in the +x-direction at .150 m/s. Then, its x-axis thruster exerts the following force on the spacecraft :
Fx(t) = -5.00 N during 0s<t<1.5s
-9.00 N during 1.5s< t< 3.25s
-6.00 N during 3.25s <t< 4.00s
When the thruster stops firing at t=4.00s, what is the spacecraft 's final velocity?


Homework Equations



v= mt2

The Attempt at a Solution



well...don't you have to find the displacement/"?
 
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  • #2
Well, you can find the deceleration of eachtime interval with Newton's second law, then go from there.
 
  • #3
want2learn said:

Homework Statement


A small robotic spacecraft (m= 145kg) is initially moving in the +x-direction at .150 m/s. Then, its x-axis thruster exerts the following force on the spacecraft :
Fx(t) = -5.00 N during 0s<t<1.5s
-9.00 N during 1.5s< t< 3.25s
-6.00 N during 3.25s <t< 4.00s
When the thruster stops firing at t=4.00s, what is the spacecraft 's final velocity?


Homework Equations



v= mt2
What? where did you get this? It doesn't even have the right units: v is m/sec and mt^2 (which I guess you mean) is in kg sec^2. I think you meant F= ma. And then v= v0+ at.

The Attempt at a Solution



well...don't you have to find the displacement/"?
No, you don't. It is not asked for and you don't need it to find the velocity, Use F= ma to find a and then use v= v0+ at to find t at the end of each time interval. v0 is the speed at the beginning of each time interval.
 

1. What is final velocity?

The final velocity is the speed and direction of an object at the end of a given time period.

2. How do three forces affect an object's final velocity?

Three forces can affect an object's final velocity by either increasing, decreasing, or changing its direction. The net force, which is the sum of all three forces, determines the object's final velocity.

3. How does time affect an object's final velocity?

Time can affect an object's final velocity by allowing it to accelerate or decelerate. The longer the time period, the more an object can change its velocity.

4. How does mass impact an object's final velocity?

Mass can impact an object's final velocity by affecting its inertia. Objects with larger masses require more force to change their velocity compared to objects with smaller masses.

5. How does initial velocity affect an object's final velocity?

Initial velocity can affect an object's final velocity by either adding to or subtracting from the final velocity. If the initial velocity is in the same direction as the final velocity, it will increase the final velocity. If the initial velocity is in the opposite direction, it will decrease the final velocity.

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