math
posted by lisa .
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!

math 
Reiny
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.
Respond to this Question
Similar Questions

algebra
The formula below can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and d represents the acceleration, in meters per second squared. … 
algebra
The formula below can be used to find the distances (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared. … 
Calculus! Please help me!
A person on a bicycle is 100 meters west of a person in a car. the person on the bike starts to ride at 8 meters per second directly east and at the same time the person in the car starts to drive directly north at 18 meters per second. … 
Calculus help PLEASE
It is known that an object traveling in straight line with velocity function v(t) = t^2t, where v is measured in meters per second. Find following. The position function s(t) when we know the position 5 meters after 2 seconds. I tried … 
Calculus
A team has been working to convert dieselpowered cars to run just as efficiently on used cooking oil! They want to compare the mileage and speed of their prototype with that of the dieselpowered car. The prototype is 100 meters south … 
physics
A car is originally traveling at 15.0 meters per second on a straight horizontal road.The driver applies the brakes causing the car to decelerate at 4.00 meters per second ^2 until it comes to a rest. Determine the cars stopping distance 
math(mechanics 1)
a car traveling on a straight road accelerates uniformly at a meter per second square from its initial speed of 20 meter per second until it reaches a speed of 30 meter per second. the car travels at this speed for 600 meter and then … 
Physics
A car slowed down at a constant rate from 32meters per second to 3.0 meters per second in 9.0 seconds. What was the distance the car traveled in 9.00 seconds? 
Algebra
Use the given information to write a systems of equations, and then solve the system algebraically to answer the question: A car begins at rest and accelerates. Its distance in meters, t, by the formula C(t) =4t^2. A second car, 150 … 
Science
A 1 420kg car coasts in neutral down a 2.0 degrees hill. The car attains a terminal velocity of 24.3 meters per second. How much power must the engine deliver to drive the car on a level road at 24.3 meters per second?