Question

An object is dropped from the top of atower.It travels a distance x in 1st second and a distance 7x in last second.find the height of a tower​

Answer 1

Answer:

1/2 g [T^2 - (T - 1)^2]        distance fallen in last second

1/2 g * 1^2  =  g/2  = distance fallen in first second

7 = [T^2 - (T - 1)^2] / 1 = 2 T - 1

T = 4 sec

Check:

S3 = 1/2 g * 9

S4 = 1/2 g * 16

S4 - S3 = 7 g / 2     which is 7 time g / 2