SOLUTION: A car is driving down the road at 10.4 m/s. All of a sudden the driver steps on the gas to make it through the intersection before the light changes. If the car accelerates uniform
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: A car is driving down the road at 10.4 m/s. All of a sudden the driver steps on the gas to make it through the intersection before the light changes. If the car accelerates uniform
Log On
Question 1010400: A car is driving down the road at 10.4 m/s. All of a sudden the driver steps on the gas to make it through the intersection before the light changes. If the car accelerates uniformly at a rate of 7.50 m/s^2, how far will the car move in 2.00 seconds? Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! With an initial speed of 10.4 m/s,
and a uniform acceleration of 7.50 m/s^2 for 2.00 seconds,
the final speed will be
10.4 + 2.00(7.5) = 10.4 + 15.0 = 25.4 m/s.
The average speed during those 2.00 seconds will be
(1/2)(10.4 m/s + 25.4 m/s)=(1/2)(35.8 m/s) = 17.9 m/s .
With that average speed, in 2.00 seconds, the distance covered would be
2.00(17.9 m/s) = 35.8 meters .
WITH FANCY FORMULAS:
An object moving in a straight line during a time ,
accelerating uniformly with acceleration ,
from an initial velocity ,
covers a distance .
In this case, understanding that the units are meters for distance and seconds for time, --->
