A rat and a cat is 35 m apart. When the rat started to run at 2 km/h (0.556 m/s), the cat started to chase him at 1 m/s2. Can the cat catch the rat in 10 seconds?

Answer 1

Compare (a/2)t^2 and 35 + 0.556 t.

Set them equal to find the time that the cat catches the rat.