You are staying in a hotel on the 4th floor (12 m from the ground) with a balcony overlooking a pool. You think about how awesome (and stupid) it would be to jump off the balcony into the pool. There is an 2.9 m high fence surrounding the pool, 4 meters from the balcony. Assuming you are a point particle and neglecting air friction, at what minimum horizontal speed would you need to jump off the balcony with to clear the fence. Assume g=10m/s/s.

You are staying in a hotel on the 4th floor (12 m from the ground) with a balcony overlooking a pool. You think about how awesome (and stupid) it would be to jump off the balcony into the pool. There is an 2.9 m high fence surrounding the pool, 4 meters from the balcony. Assuming you are a point particle and neglecting air friction, at what minimum horizontal speed would you need to jump off the balcony with to clear the fence. Assume g=10m/s/s.