I would take a Panasonic G6 + 100-300mm lens in Shutter priority mode with a shutter of 1/600 or faster and a ton of extra batteries and SD cards.
The G6 + 100-300mm lens will give you decent reach in a relatively small and light package. Shutter priority should mean you won't have to spend a lot of time changing settings. 1/600 (or faster) shutter so you won't have much motion blur (assuming good technique). (You might also enable O.I.S. (Optical Image Stabilization) on the lens to help reduce blur due to camera shake.) And the reason for the extra batteries and SD cards should be self-evident.
Mark
Having experienced a safari personally I was struck by the fact that I was the only person...amongst sixteen of us...that had binoculars. The rest of the group carried cameras of various sizes. The upshot was that my binoculars were in demand as I was able to focus on the unfolding vital dramatic moments of the safari much quicker than the owners of the cameras who, by the time they has focussed and set their settings to capture what I had witnessed, the moment had passed. Hence my question! Perhaps another consideration would be to possess a camera/binocular combination. Can anybody make suggestions on the ideal camera for this sort of activity and if their is a benefit in using a camera/binocular for the same purpose? Thanks, opticfortravel.

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