math
posted by lisa on .
a car traveling on a straight road at 20 meters per second accelerates to 26 meters per second in 12 seconds. what is the total distance traveled by the car? please help!

I know that there are formulas in physics for this type of question, but I am not a physics teacher , so I will use standard Calculus
a = (v2  v1)/(time2  time1) = (2620)/(120) = 6/12 = 1/2
since a = 1/2
v = (1/2)t + c
when t = 0, v = 20
20 = c
so v = (1/2)t + 20
then
d = (1/4)t^2 + 20t + k
at t=0 , d = k
at t = 12 , d = (1/4)(144) + 20(12) + k= 276+k
distance covered in that 12 seconds = 276k  k = 276 m
drwls or bobpursley could do it much easier.