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?

Answer 1

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?

Answer 2

yes i measured s0 from point A so it's 0