You and a friend ride what are billed as the "world's longest slides" at a county fair. Your slide is \(100 \mathrm{~m}\) long, and your trip takes \(10 \mathrm{~s}\), including any effect of friction. Your friend chooses a taller, \(150-\mathrm{m}\)-long slide made from the same material as yours and with the same angle of incline. Ignore friction.

(a) What is the magnitude of your acceleration down the slide?

(b) What is the magnitude of your friend's acceleration down the slide?

(c) How many seconds does it take your friend to get to the bottom?

(d) What is your speed when you hit the bottom?

(e) What is your friend's speed when she reaches the bottom?