Making the Light Final Exam Review

[charan1]

Homework Statement

Making the light. While traveling in your car at a constant 12 m/s, you notice a traffic light 44 m in front of
you turn yellow. You know that the light will turn red in 3.0 seconds, and that you can speed up at a rate of 6.0
m/s/s. You’re also aware that it takes you 1.0 second to actually step on the gas and begin speeding up at that
rate. Will you make it through the light before it turns red?

Homework Equations

xf=xi+Vi(delta T)+(.5)a(Delta T)^2

The Attempt at a Solution

In the one second delay because of reaction time the car travels 12 meters corresponding to the 12m/s velocity so xi=12m

xf=12m + (12m/s)(2s) + (.5)(6m/s/s)(2^2)
xf=36m

36m<44m to the light so the car will not make the light!

 

[Doc Al]

xf=12m + (12m/s)(2s) + (.5)(6m/s/s)(2^2)
xf=36m

Redo that calculation.

 

[charan1]

Ah math error kills thank you.

48m>44m car will make the light!