How do I calculate the average deceleration of a car?

  • Thread starter Thread starter hellothere.
  • Start date Start date
  • Tags Tags
    Deceleration
AI Thread Summary
To calculate the average deceleration of a car slowing from 13 m/s to rest over a distance of 640 m, the formula v² = u² + 2as is used. The initial velocity (u) is 13 m/s, the final velocity (v) is 0, and the distance (s) is 640 m. Rearranging the equation leads to a = (v² - u²) / (2s), resulting in a deceleration of approximately 0.1 m/s². The correct calculation shows that a = 169/1280, which simplifies to about 0.132 m/s², confirming the average deceleration. This method effectively demonstrates how to derive average deceleration using basic kinematic equations.
hellothere.
Messages
2
Reaction score
0
Sorry about this, must seem a trivial question, but anyways here goes.

A car is traveling at 13ms^1. It is allowed to slow down natrually without appyling the brakes. The distance traveled in coming to rest is 640m.

Show that the average deceleration of the car is about 0.1ms^2.

-------------------

Ok so first of since time aint metioned i used.

v^2 = u^2 + 2as

giving me

v = 0
u =13
a = ?
s = 640

----------------------------------
v^2 = 13^2 + 2(a)640.

v^2= 13^2 +2(640)
___________
a

a * v^2 = 13^2 +2(640)

a = 13^2 +2(640)
__________
v^2

Giving me a very strange answer, no were remotely close to 0.1, I've obviously screwed up the re-arranging or used the wrong formula.

Would like a nudge in the right direction please.
 
Physics news on Phys.org
Welcome to PF.

Your equation is ok. But solving it looks not right.

V² = V² + 2*a*x

13² = 2 * a * 640

a = 169/1280
 
LowlyPion said:
Welcome to PF.

Your equation is ok. But solving it looks not right.

V² = V² + 2*a*x

13² = 2 * a * 640

a = 169/1280
Cheers, knew i did something wrong, thanks.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
Back
Top