Acceleration equations involving time.

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Homework Help Overview

The discussion revolves around calculating the time required for a car to accelerate from 90 km/hr to 110 km/hr given a constant acceleration of 1.7 m/s². The participants are addressing unit conversions and the application of kinematic equations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to convert units from km/hr to m/s for proper calculation. There are attempts to apply the formula for time using acceleration and velocity differences, alongside questions about the conversion process.

Discussion Status

The conversation is active, with participants exploring unit conversion methods and discussing the implications of significant figures. Some guidance has been offered regarding the conversion of units, but there is no explicit consensus on the final answer.

Contextual Notes

There is a focus on ensuring proper unit conversion, with participants noting the importance of maintaining consistency in units throughout the calculations. The discussion also highlights the potential for differing rounding practices based on instructor preferences.

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At highway speeds, a certain car is capable of an an acceleration of about 1.7 m/s^2. At this rate, how long does it take to accelerate from 90 km/hr to 110 km/hr? (WATCH UNITS.)

Given- Time=?
A=1.7m/s^2
Vi=90km/hr
Vf=110km/hr


Vf=vi+at Solve for t! T= vf-vi/a 110km/hr-90km/hr = 20km/hr
1.7m/s^2

How do I divide 20km/hr by 1.7 m/s^2?
 
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cneedshelp said:
At highway speeds, a certain car is capable of an an acceleration of about 1.7 m/s^2. At this rate, how long does it take to accelerate from 90 km/hr to 110 km/hr? (WATCH UNITS.)

Given- Time=?
A=1.7m/s^2
Vi=90km/hr
Vf=110km/hrVf=vi+at Solve for t! T= vf-vi/a 110km/hr-90km/hr = 20km/hr
1.7m/s^2

How do I divide 20km/hr by 1.7 m/s^2?

First convert your units to be in terms of meters and seconds then do the calculation.
 
bp_psy said:
First convert your units to be in terms of meters and seconds then do the calculation.

I got .02m but I'm not sure how to convert the hr to seconds
 
cneedshelp said:
I got .02m but I'm not sure how to convert the hr to seconds
What is that .02m?
You want to convert km/hr to m/s.An hour has 60 mins and a min has 60 sec.
\frac{1km}{hr}\frac{1hr}{3600s}\frac{1000m}{1km}= \frac {1000m}{3600s}
 
bp_psy said:
What is that .02m?
You want to convert km/hr to m/s.An hour has 60 mins and a min has 60 sec.
\frac{1km}{hr}\frac{1hr}{3600s}\frac{1000m}{1km}= \frac {1000m}{3600s}

What I did now was 20(1000)/3600
is 6m/s using sig figs and that's the answer! right?
 
cneedshelp said:
What I did now was 20(1000)/3600
is 6m/s using sig figs and that's the answer! right?

Yes if your teacher requires you to round up after every step.I would round after the final answer for time though.
 

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