Calculating Distance Traveled During a 5-Minute Bus Acceleration | Homework Help

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Homework Help Overview

The problem involves calculating the distance traveled by a bus that accelerates from 85 km/hr to 105 km/hr over a period of 5 minutes. The context is within kinematics, focusing on motion with constant acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the appropriate equations to use for calculating distance, questioning the relevance of mass in this scenario. There are inquiries about identifying initial and final velocities, as well as clarifications regarding the meaning of acceleration and time in the context of the problem.

Discussion Status

The discussion is active with participants offering different equations and approaches for solving the problem. Some guidance has been provided regarding the use of kinematic equations, but there is no explicit consensus on the best method to proceed. Participants are exploring various interpretations of the problem.

Contextual Notes

There is a mention of the need for consistent units, particularly regarding time and velocity, which may affect the calculations. The original poster expresses uncertainty about the equations and the role of mass, indicating potential gaps in understanding the problem setup.

licorice
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Homework Statement


A bus accelerates from 85 km/hr to 105 km/hr on the road. he accelerates for a period of 5 min. how long has he traveled over that period of time?


Homework Equations


x=1/2(v2=v1)t


The Attempt at a Solution



I am not sure if this is the right equation to use, i get stuck once i plug in the numbers while doing the algebra, and is the mass really needed? It states the weight of the car in the question?

which one is v1 and v2? how do i tell?
 
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The mass doesn't matter since both the initial speed and final speed are given. Assuming the acceleration is constant it should be (v2-v1)/t

d=vt+(1/2)(a)t^2

Then you know what to do next.
 
CheckMate said:
The mass doesn't matter since both the initial speed and final speed are given. Assuming the acceleration is constant it should be (v2-v1)/t

d=vt+(1/2)(a)t^2

Then you know what to do next.

which one is Acceleration or Time if acceleration says its 5 min?
 
licorice said:
which one is v1 and v2? how do i tell?

V1 is the initial, or starting speed (usually called [itex]v_i[/tex])<br /> V2 is the final speed (usually called [itex]v_f[/tex])[/itex][/itex]
 
CheckMate said:
The mass doesn't matter since both the initial speed and final speed are given. Assuming the acceleration is constant it should be (v2-v1)/t

d=vt+(1/2)(a)t^2

Then you know what to do next.

Although this will work, you don't really need to find the acceleration (and it is constant), just use the basic kinematic equation:

[tex]d = \frac{v_i + v_f}{2}\cdot t[/tex]
 
Be sure that the units of time agrees with the time units used for velocity.
 

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