Question

A vidy falls freely under gravity the distance traveled by it in last second of its journey equals the distance travelled by it in the first three seconds of its free fall

Answer 1

Body falls according to 1:3:5:7:9....

Hence if first second is taken as x, then next would be 3x and next would be 5x so on and so fourth.

Now first three seconds so

X+3x+5x =9x

Which would be 5th second because

1 st second - x mts

2 nd second - 3x mts

.

.

5 th second - 9x mts

So total time taken by the body to hit the ground is 5 sec.

Total distance traveled by the body is x+3x+5x+7x+9x = 25 x

We can calculate x using kinematics talking value of 'g' ( acceleration due to gravity).