Question
A car is traveling at a constant initial velocity of 100km/h on a level portion of road. It encounters a 6 percent incline (tan(theta)= 6/100) at point A and the car decelerates at a constant rate of gsin(theta). Find the speed of the car (a) 10 seconds after passing point A and (b) when s = 100 m (where s is measured from point A)
So what I've got so far is that you have to change the initial velocity to m/s which is about 27.78 m/s. Then I integrated to get that the position function is -0.5gsin(theta)t^2 + v0t + s0 (where v0 is velocity initial and s0 is initial position). Is this anywhere close to being on the right track?
So what I've got so far is that you have to change the initial velocity to m/s which is about 27.78 m/s. Then I integrated to get that the position function is -0.5gsin(theta)t^2 + v0t + s0 (where v0 is velocity initial and s0 is initial position). Is this anywhere close to being on the right track?
Answers
MathMate
Yes, you're on the right track. Continue and post your answers for verifications if you wish.
Note: s0, the constant of integration, equals zero, since it is measured from point A, right?
Note: s0, the constant of integration, equals zero, since it is measured from point A, right?
Jessi
yes i measured s0 from point A so it's 0