Velocity/displacement 11th grade physics

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In summary, when a truck skidding out of control has its initial velocity halved, the total displacement of the truck will be less than half of the displacement if the truck were at its original velocity. This is because the total time to stop would be less, and the truck would cover less distance due to its lower velocity. This can be calculated using the displacement formula, where the displacement with the halved initial velocity is approximately 1/3 of the displacement with the original velocity. It is important to use mathematical methods rather than trial and error to solve problems like this.
  • #1
lax1113
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Homework Statement


A truck that is skidding out of control has its initial velocity halved. How will this effect the total displacement of the skidding truck, vs the amount of displacement if the truck were at its original velocity


Homework Equations


displacement= Vi(t)+1/2AT^2 Vi=initial velocity... A=acceleration...T=time


The Attempt at a Solution


I believe that the result would be around less than half the displacement. My reasoning is that the total time to stop would be less, because there is less of a velocity, and also that since the velocity is lower, that the truck would be covering less distance throughout the whole time... maybe 1/3 or around that as a ballpark guess.
 
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  • #2
Try putting some variables in the displacement function, for example Vi = a m/s, A = a/4 m/s^2. Now put Vi = 2a. Compare the expressions then.
 
  • #3
kbaumen said:
Try putting some variables in the displacement function, for example Vi = a m/s, A = a/4 m/s^2. Now put Vi = 2a. Compare the expressions then.
dear frnd... kbaumen never encourage your colleagues to put values and solve questions...

trial and error methods are very uncivilized and baseless methods..

they may solve a problem for you but they shall cease to help you in the long run...

use maths to help you always...

v=u+at
a=v/t
v/2=u+a't
a'=v/2t

s1=1/2 v/t *t^2
s2=1/2 v/2t *t^2

s1/s2=2vt/vt
s1/s2=2
s1=2s2

assumptions=the truck starts from rest ..the acceleration is constant.. and the displacements are measured in the same time interval.
 
  • #4
physixguru said:
dear frnd... kbaumen never encourage your colleagues to put values and solve questions...

trial and error methods are very uncivilized and baseless methods..

they may solve a problem for you but they shall cease to help you in the long run...

use maths to help you always...

Thanks for the advice.
 
  • #5
The formula for displacement that you used is the same formula i use for solving for distance? why is that? this is to lax113
 
  • #6
displacement is distance, but it takes into account direction, whereas distance doesn't...so its the same formula for both
 

Related to Velocity/displacement 11th grade physics

1. What is the difference between velocity and displacement?

Velocity is the rate of change of displacement with respect to time. It is a vector quantity that includes both speed and direction. Displacement, on the other hand, is the shortest distance between an object's initial and final positions. It is also a vector quantity that only considers the final position with respect to the initial position.

2. How do you calculate velocity?

Velocity can be calculated by dividing the change in displacement by the change in time. The formula for velocity is: velocity = (change in displacement) / (change in time). The SI unit for velocity is meters per second (m/s).

3. Can velocity be negative?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of the reference point. For example, if an object is moving towards the left and the reference point is towards the right, the velocity would be negative.

4. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement divided by the total time taken, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity gives an overall picture of an object's motion, while instantaneous velocity shows the object's velocity at a specific point in time.

5. How is displacement related to velocity?

Displacement is a measure of how far an object has moved from its initial position, while velocity is a measure of how fast and in what direction the object is moving. Displacement and velocity are related because velocity is the rate of change of displacement with respect to time. In other words, velocity is the derivative of displacement.

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