Unless I have misinterpreted something horribly, this was my process:
s denotes position.
t denotes time.
-0.25s ds = v dv
C -0.125s^2 = 1/2 v^2
When s = 0, v = 17.
C = 1/2 (17)^2
C = 144.5
144.5 - 0.125s^2 = 1/2v^2
289 - 0.25s^2 = v^2
v = sqrt(289 - 0.25s^2)
ds / dt = sqrt(289 -...
Homework Statement
Initial velocity = 17 m/s
Radius of curvature = 13 m
Acceleration as a function of position = -0.25s m/s^2
Time elapsed = 2 s
Solve for the magnitude of the acceleration.
Homework Equations
a = v (dv/ds)
a^2 = a(t)^2 + a(n)^2, wherein a(t) is tangential...