We can use the formula for average power:
P = W / t
where W is the work done and t is the time taken. The work done can be calculated using the formula:
W = (1/2) * m * v^2
where m is the mass of the rock and v is its final velocity. Substituting the given values:
W = (1/2) * 15 kg * (4.0 m/s)^2 = 120 J
Substituting the given value of time:
t = 3.0 s
Now we can calculate the average power:
P = W / t = 120 J / 3.0 s = 40 W
Therefore, the average power of the bender for accelerating the rock is 40 watts.