uradnky
Oct21-08, 07:37 PM
1. The problem statement, all variables and given/known data
In coming to a stop the acceleration of a car is given as a= -4t. If it is traveling at 32m/s when the brakes are applied, how far does is travel while stopping?
3. The attempt at a solution
1.) Integrate acceleration to find velocity as a function of time
v= -2t^2 + C1
at t=0 , v = 32m/s
v = -2t^2 + 32
2.) Integrate velocity to find displacement as a funtion of time
s = (2/3)(t^3) + 32t + C2.
This is where I get stuck.
Is it correct to assume that at t=0 , s will be zero and therefore C2 is zero?
In coming to a stop the acceleration of a car is given as a= -4t. If it is traveling at 32m/s when the brakes are applied, how far does is travel while stopping?
3. The attempt at a solution
1.) Integrate acceleration to find velocity as a function of time
v= -2t^2 + C1
at t=0 , v = 32m/s
v = -2t^2 + 32
2.) Integrate velocity to find displacement as a funtion of time
s = (2/3)(t^3) + 32t + C2.
This is where I get stuck.
Is it correct to assume that at t=0 , s will be zero and therefore C2 is zero?