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Q&A Find jerk of time varying force

1 answer  ·  posted 1y ago by MissMulan‭  ·  last activity 1y ago by Mithrandir24601‭

#8: Post edited by user avatar MissMulan‭ · 2021-08-10T21:54:07Z (about 1 year ago)
  • This gravitational field we move inside has some distance l after which it becomes 0.Before l it is just like any gravitational field.
  • Suppose we move inside that gravitational field.The acceleration we experience depends on the distance from the planet.
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
  • This gravitational field we move inside has some distance L after which it becomes 0.Before L it is just like any gravitational field.
  • Suppose we move inside that gravitational field.The acceleration we experience depends on the distance from the planet.
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#7: Post edited by user avatar MissMulan‭ · 2021-08-10T21:53:35Z (about 1 year ago)
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
  • This gravitational field we move inside has some distance l after which it becomes 0.Before l it is just like any gravitational field.
  • Suppose we move inside that gravitational field.The acceleration we experience depends on the distance from the planet.
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#6: Post edited by user avatar MissMulan‭ · 2021-08-10T01:08:18Z (about 1 year ago)
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#5: Post edited by user avatar MissMulan‭ · 2021-08-09T22:47:32Z (about 1 year ago)
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • If we let an object do a free fall without initial velocity
  • $$x = x_{0}-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:
  • $$x = x_{0}-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#4: Post edited by user avatar MissMulan‭ · 2021-08-09T22:37:04Z (about 1 year ago)
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • If we let an object do a free fall without initial velocity and acceleration
  • the equation of motion of the object will be:
  • $$x = x-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • If we let an object do a free fall without initial velocity
  • $$x = x_{0}-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#3: Post edited by user avatar Mithrandir24601‭ · 2021-08-09T21:56:02Z (about 1 year ago)
fixed Latex formatting
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • ![hi](https://physics.codidact.com/uploads/c63ztemqyHKkDf8Jhjz5j8rK)
  • If we let an object do a free fall without initial velocity and acceleration
  • the equation of motion of the object will be:
  • ![hi](https://physics.codidact.com/uploads/MQv5mSUF7T7AReRsUviVt3b2)
  • where j is the jerk or
  • ![gi](https://physics.codidact.com/uploads/q4tPGdLP4WoZ5x5ybfbEQ2oz)
  • How can we find the jerk?
  • Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet
  • $$a\sim\frac{1}{r^2}$$
  • If we let an object do a free fall without initial velocity and acceleration
  • the equation of motion of the object will be:
  • $$x = x-\frac{1}{6}jt^3$$
  • where j is the jerk or
  • $$\dot{a}\left(t\right)$$
  • How can we find the jerk?
#2: Post edited by user avatar MissMulan‭ · 2021-08-09T21:43:30Z (about 1 year ago)
  • Find jerk on changing force
  • Find jerk of time varying force
#1: Initial revision by user avatar MissMulan‭ · 2021-08-09T21:41:40Z (about 1 year ago)
Find jerk on changing force
Suppose we move inside a conservative field(let's say gravitational for simplicity).The acceleration we experience depends on the distance from the planet 

![hi](https://physics.codidact.com/uploads/c63ztemqyHKkDf8Jhjz5j8rK)

If we let an object do a free fall without initial velocity and acceleration 
the equation of motion of the object will be:

![hi](https://physics.codidact.com/uploads/MQv5mSUF7T7AReRsUviVt3b2)

where j is the jerk or 

![gi](https://physics.codidact.com/uploads/q4tPGdLP4WoZ5x5ybfbEQ2oz)
 
How can we find the jerk?