Question

A car has been moving at a constant speed begins to slow down at a constant rate.it travels 25 m in the first second,20 m in the second second,16 m in the third second and so on.Show that the total distance covered,before it stops,does not exceed 125 metres

Answer 1

If it is slowing down at constant rate, then change of speed with time is constant.

Change of distance per unit time is also a constant.

Total distance before stopping as per the data give

$24+20+16+12+8+4\le125$