Rocío strikes a 0.058-kg golf ball with a force of 272N and gives it a velocity of 62.0m/s. How long was Ricío club in contact with the ball?

So lets list out we have here:

velocity = 62 m/s

Force = 272 N

Mass = 0.058kg

In studying momentum you learn that the force multiplied by the change in time is equal to the change in momentum.

FΔt = Δp

FΔt = p (final) - p (initial)

The ball is orginally at rest so its momentum is zero because momentum = mass x velocity and if velocity is 0 then the whole equation goes to zero. So ...

FΔt = p (final)

Isolating for Δt gives

Δt = p (final) / F

Δt = mv / F

Δt = (0.058) (62) / (272)

Δt = 0.013 seconds