Black Bear's Burst Of Speed

Black bears can run up to 35 miles per hour.

Picture from Newscoma

Due to the fact that black bears are able to run that fast, it's important to remember that if you encounter a black bear NOT to run.  It is better to just back away slowly and not make any quick movements or loud noises.

Large Leaps For Ostriches

In a single stride an ostrich can cover 10 to 16 feet.

Picture from Travellers Point

While ostriches can not fly, they are built for running.  The fact that they are the fastest bird species also helps them easily escape predators.  They can maintain a speed of 30 mph for long periods of time, and can even reach up to 40 mph at times. 

They're the fastest bird species, with a maximum running speed of more than 40 mph (64 kph), and they can cover 10 to 16 feet (3 to 5 meters) in a single stride.
Ostriches can maintain a speed of 30 mph (48 kph) for long periods of time, helping them escape nearly any predator.
- See more at: http://www.livescience.com/27433-ostriches.html#sthash.6CGwgK79.dpuf