How Far Does a Car Travel Accelerating Uniformly from Rest to 20 m/s West?

AI Thread Summary
A car accelerates uniformly from rest to a velocity of 20 m/s west with an acceleration of 2.50 m/s². The time taken to reach this velocity is calculated to be 3.2 seconds. Using the displacement formula, the total displacement during this time is found to be 32 meters west. The calculations are confirmed to be correct. This demonstrates the relationship between acceleration, time, and displacement in uniform motion.
kselanders
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Homework Statement



A car accelerates uniformly from rest. If the acceleration was 2.50 m/s^2 west, what was its displacement when it reached a velocity of 20.0 m/s west?

Homework Equations


The Attempt at a Solution



A= 2.50 m/s^2 west
Vi= 0 m/s
Vf= 20 m/s west

vf=vi+at
20m/s=2.50m/s^2(t)
20m/s/2.50m/s^2=t
t=3.2sxf=xi+1/2(vf+vi)t
xf=1/2(20m/s)(3.2s)
xf=(10m/s)(3.2s)
xf=32m
 
Last edited:
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Hi kselanders, welcome to PF.
vf=vi+at
20m/s=2.50m/s^2(t)
20m/s/2.50m/s^2=t
t=3.2s

Check this calculation.
 
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