Question

A particle starts from rest and is accelerated uniformly. Find the ratio of distance travelled from in3rd and 5th second.​

Answer 1

Question:-

→ A particle starts from rest and is accelerated uniformly. Find the ratio of distance travelled from in3rd and 5th second.

Answer:-

»»» d3 : d5 = 5 : 9

Solution:-

Given:-

»»» The body starts from rest. u = 0

»»» The object is having a uniform acceleration throughout the journey.

To Find:-

★ The ratio of the distance travelled by the object in 3rd and 5th second.

Calculation:-

u = 0 ; a = ?

S 3 = u + a/2 [2(3) - 1]

= a/2 × 5

S5 = u + a/2 [2(5) - 1]

a/2 × 9

D3 : D5

a/2 × 5 : a/2 × 9

= 5 : 9

∴ Ratio of D3 : D5 = 5 : 9

Answer 2

from Sn=u+a/2(2n-1)

then S3=0+a/2(5)=5a/2

S5=0+a/2(9)=9a/2

then ratio is equals to 5:9