Consider a golf ball that is putted, from the same starting position, up the slope of the same green at two different times: once in the winter $($Trial $1),$ when the green is covered with smooth ice and is frictionless $($this is a die$-$hard golfer we're talking about$)$ and the struck golf ball only slides and does not roll. The second time $($Trial $2),$ the green is covered with grass and has a high coefficient of friction, so the ball begins to roll without slipping immediately after being struck. To make the putt, the golfer must

a$.$ do the same amount of work on the ball in both Trials and the ball will have the same initial speed at the beginning of both trials.

b$.$ do more work on the ball in Trial $1$ than in Trial $2$ and the ball will have a greater initial speed in Trial $1$ than in Trial $2.$

c$.$ do more work on the ball in Trial $2$ than in Trial $1$ and the ball will have a greater initial speed in Trial $2$ than in Trial $1.$

d$.$ do the same amount of work on the ball in both trials, but the ball will have a greater initial speed in Trial $1$ than in Trial $2.$

e$.$ do the same amount of work on the ball in both trials, but the ball will have a greater initial speed in Trial $2$ than in Trial $1.$