Finding constant velocity,final velocity and acceleration of these cars?

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SUMMARY

The discussion centers on calculating the constant velocity of Car A and the final velocity and acceleration of Car B, both covering a distance of 517 meters in 21 seconds. Car A maintains a constant velocity of 2.40 m/s. For Car B, which starts from rest and accelerates, the final velocity is determined using the formula s = (u + v)/2 * t, leading to a final velocity of 24.6 m/s. The acceleration of Car B is calculated by dividing the final velocity by the time of 21 seconds.

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  • Knowledge of basic physics principles related to motion
  • Ability to manipulate algebraic formulas
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This discussion is beneficial for physics students, educators, and anyone interested in understanding motion dynamics, particularly in the context of constant velocity and acceleration scenarios.

xod_s
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Homework Statement


Two cars go the same distance in a straight line. Car A covers the distance at a constant velocity. Car B starts from rest and maintains a constant acceleration. Both cars cover a distance of 517 m in 215 and are moving in the + direction. Whats the constant velocity of car A as well as the final velocity and acceleration of car B?

Homework Equations





The Attempt at a Solution

 
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xod_s said:

Homework Statement


Two cars go the same distance in a straight line. Car A covers the distance at a constant velocity. Car B starts from rest and maintains a constant acceleration. Both cars cover a distance of 517 m in 215 and are moving in the + direction. Whats the constant velocity of car A as well as the final velocity and acceleration of car B?

Homework Equations





The Attempt at a Solution


Did you by any chance mean 21 s [seconds] rather than 215 and no units.
 
@ PeterO "Did you by any chance mean 21 s [seconds] rather than 215 and no units."
Yes I did.Thank you for pointing that out.It's supoose to be 21 seconds not vaugely 215.Also if it helps I know for sure that the constant velocity of Car A is 2.40 m/s.
 
Last edited:
xod_s said:
@ PeterO "Did you by any chance mean 21 s [seconds] rather than 215 and no units."
Yes I did.Thank you for pointing that out.It's supoose to be 21 seconds not vaugely 215.Also if it helps I know for sure that the constant velocity of Car A is 2.40 m/s.

I hope you really meant 24.6 for the constant velocity.

One of the useful formulae for motion under constant acceleration is

s = (u + v)/2 .t

s = displacement, u = initial velocity, v = final velocity, t = time.

for acceleration zero, u = v so the (u + v)/2 = (v + v)/2 = v

The formula becomes s = vt, which you use to get that 24.6

when an object starts from rest, u = zero, so the formula becomes s = v/2 . t

from that you can get the final velocity.

as for acceleration .. the car reaches that velocity in 21 seconds, so you can divide by 21 to find the acceleration.
 

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