- #1
joemama69
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Homework Statement
A person is riding a bicycle at a constant speed v along a straight road and then gradually applies the brakes until the bicycle comes to a stop. Assume that the magnitude of the braking force increases liearly in time acordinto F = bt where b is a constant. The rider & bicycle have a total mass m
a)what is the magnitude and directio nof teh acceleration of the rider and bicycle
b) is the acceleration constant or not? Explain
c) How long does it take to come to a stop
d) how far does the bike travel during the time the brakes are applied
Homework Equations
The Attempt at a Solution
a) i need to find the acceleration of the bike
v = v0 + at, v = 0
a = -vo / t
[tex]\sum[/tex]Fx = ma = -vo/t - bt
a = (-vo/t - bt)/m
b) not possitive but i do think it is constant because the brakes are being applied @ a constant, so it is constantly decreasing. does that make sence?
c) assuming my answer is correct to part a, i would just solve for t, but I am not too comfortable with my answer to a so i haven't solved it yet
d) same as c, but i would solve for x