Trouble calculating the acceleration

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AI Thread Summary
The discussion centers on calculating acceleration and speed in a scenario where a driver accelerates while passing distance markers. The problem states that the driver passes the 0.1 mile marker in 16 seconds and the 0.2 mile marker in an additional 8 seconds. The initial approach incorrectly applies the formula d=v/t, which is not valid for accelerating motion. Instead, the correct equations involve using initial velocity and acceleration, leading to a system of equations that can be solved for both variables. The key takeaway is that proper formulas must be used to account for acceleration in distance-time problems.
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Hey everyone I need some help with a problem. I am having trouble calculating the acceleration since I don't the the initial velocity.

Homework Statement


You are driving on the highway when you come across a speedometer test where the distances are maked on signs. When you pass the 0 mile marker, rather than holding your speed constant you press on the accelarator and hold it constant. You pass the 0.1 mile marker 16 s later, and the 0.2 mile marker 8 seconds after the 0.1 marker. a) What did you speedometer read at the 0.2 mile? b) what was your acceleration?


Homework Equations


d=v/t
d=0.2 miles=322m
time=24 s

The Attempt at a Solution


a) 322m=v/24s
V=13m/s
b) For the acceleration I am not sure.

Thank you for your help
 
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If it's accelerating you CAN'T use v=d/t (and you can't use d=v/t anywhere. It's wrong). You have to use d=v0*t+(1/2)*a*t^2 where v0 is the initial velocity and a is the acceleration. Now if you put in the two given time points, you have two equations in the two unknowns v0 and a. Solve for them.
 
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