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?

Write equations for location vs time for each animal and set them equal. Solve that equation for t. That will tell you the time the cat catches the mouse. See if it is more of less than 10 seconds