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Question: From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ra...

From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the distances, covered by it in the 3rd and 2nd seconds of the motion is (Take g=10m/s2g = 10m/s^{2})

A

5 : 7

B

7 : 5

C

3 : 6

D

6 : 3

Answer

7 : 5

Explanation

Solution

S3rd=10+102(2×31)=356mumS_{3^{rd}} = 10 + \frac{10}{2}(2 \times 3 - 1) = 35\mspace{6mu} m

S2nd=10+102(2×21)=25mS_{2^{nd}} = 10 + \frac{10}{2}(2 \times 2 - 1) = 25mS3rdS2nd=75\frac{S_{3^{rd}}}{S_{2^{nd}}} = \frac{7}{5}