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
Messages
3
Reaction score
0

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:
Physics news on Phys.org
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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top