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

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A bus accelerates from 85 km/hr to 105 km/hr over a period of 5 minutes, and the key question is how to calculate the distance traveled during this time. The relevant equations include d = vt + (1/2)(a)t^2 and d = (v_i + v_f)/2 * t, where v_i is the initial speed and v_f is the final speed. The mass of the bus is not necessary for this calculation since both speeds are provided. It's important to ensure that the time units match those used for velocity when performing the calculations. Using the average speed formula simplifies the process and avoids the need to calculate acceleration directly.
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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?

Wich 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:
Wich one is v1 and v2? how do i tell?

V1 is the initial, or starting speed (usually called v_i[/tex])<br /> V2 is the final speed (usually called v_f[/tex])
 
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:

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