a horse is running with an initial velocity of 11m/s and begins to accelerate at -1.81m/s^2. how long does it take for the horse to stop?
vf=vi+at
0=11-1.81 t solve for t
To find the time it takes for the horse to stop, we need to determine at what point the horse's velocity becomes zero. We can use the equation of motion:
v = u + at
where:
v = final velocity (0 m/s, since the horse stops)
u = initial velocity (11 m/s)
a = acceleration (-1.81 m/s^2)
t = time
Rearranging the equation, we have:
t = (v - u) / a
Plugging in the given values, we get:
t = (0 - 11) / -1.81
Calculating this, we find:
t ≈ 6.08 seconds
Therefore, it takes approximately 6.08 seconds for the horse to stop.