With an average acceleration of −1.3 m/s2
,
how long will it take a cyclist to bring a bicycle
with an initial speed of 13.7 m/s to a complete
stop?
Answer in units of s.
vf=vi- 1.3 t
solve for t.
To find the time it takes for the bicycle to come to a complete stop, we can use the equation of motion:
v = u + at
where:
v = final velocity (which is 0 m/s since the bicycle comes to a complete stop)
u = initial velocity (given as 13.7 m/s)
a = average acceleration (given as -1.3 m/s^2)
t = time
Rearranging the equation, we have:
t = (v - u) / a
Plugging in the values, we get:
t = (0 - 13.7) / -1.3
Simplifying, we have:
t = -13.7 / -1.3 = 10.54 s
Therefore, it will take approximately 10.54 seconds for the cyclist to bring the bicycle to a complete stop.