Homework Statement
In the 100 m dash a sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 2.68 m/s2. After reaching top speed, he runs remainder of race with constant velocity. If total race is run in 12.0s, how far does he run during the acceleration...
I appreciate your help but I'm still confused. I'll keep pluggin away at it. I tried a different setup for time. I tried Total time = t, one portion of t (for distance x) would be 1.0s and the other distance (1/2*x)would be t-1.0s. I'm just not sure how to solve for t with the information...
I don't think it works. This ends up being : (the squared root of 6)/2*t = t + 1.
The x variable I was using in 1.5x was under the assumption that distance x + 1/2x = Total X. So I don't think I can plug 1/2*a*t2 into the 1.5x, or 3/2x side of the equation. What do you think?
I think I'm doing something fundamentally wrong because I try:
1.5x = 1/2* 1.5x/(t+1.0s)2*(t+1)2
But then I end up with 1.5x = 0.75x, which is obviously incorrect.
Something isn't clicking with me and this problem.
Homework Statement
An object starts from rest at the origin and accelerates for a time t (x axis). Acceleration is constant. Object continues with same acceleration for an additional one second. The distance traveled during time t is one half the distance traveled during the one second...