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

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Homework Help Overview

The problem involves two cars traveling the same distance of 517 m, with Car A moving at a constant velocity and Car B starting from rest with constant acceleration. The time taken for both cars is specified as 21 seconds.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the interpretation of the time variable, with one questioning whether "215" was a typographical error for "21 seconds." There is also a mention of the known constant velocity of Car A as 2.40 m/s, with another participant suggesting a different value of 24.6 m/s and referencing relevant motion equations.

Discussion Status

The discussion is ongoing, with participants clarifying details and exploring different interpretations of the problem. Some guidance on relevant equations for motion under constant acceleration has been provided, but no consensus has been reached regarding the values or final outcomes.

Contextual Notes

There is a noted ambiguity in the initial time value, which has been corrected from "215" to "21 seconds." The participants are also navigating the implications of the known constant velocity of Car A and how it relates to the calculations for Car B.

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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