Deriving the 4th equation of motion

AI Thread Summary
The discussion focuses on deriving the fourth equation of motion, v² = v₀² + 2aD, using the second and third equations of motion. The user initially seeks assistance in substituting time from the second equation into the third to eliminate time from the derivation. They express confusion over the distribution of terms and the resulting form of the equation. Ultimately, the user resolves their issue independently. The thread highlights the process of deriving motion equations and the common challenges faced in physics calculations.
danksnaks
Messages
2
Reaction score
0
1. All I need to do is derive the 4th equation of motion being v2= v02+2aD from the second (t=(v-v0)/a) and third (D=1/2at2+v0t).
2. In this case D= (Ending-initial distance) V0= Initial Veolocity
3. By having the second equation solved for t I could substitute it in an completely eliminate time and I end up with D=1/2a((v-v0)/a))2+v0((v-v0)/a). Past this point I knwo to distribute the terms, but I have no idea what the correct forms look like because I always ended up with a slight different in the term hooked to 1/2a. Any help here?
 
Physics news on Phys.org
I lied. I figured it out.
 
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Back
Top