A cheetah is pursuing an impala. The impala is running in a straight line at a constant speed of 16 m/s. The cheetah is 10 m behind the impala, running at 20 m/s but tiring, so that it is decelerating at 1 ms -2. Find an expression for the gap between the cheetah and the impala t seconds later. Will the impala get away?
Intro: In the savannah, a cheetah is chasing an impala. The impala runs at a constant speed of 16 m/s, with the cheetah initially 10 meters behind and running at 20 m/s but slowing down at 1 m/s². The question is, what will be the gap between them 7 seconds later, and can the impala … Read more