Kinematics Question 222

Question: A body thrown vertically upwards with an initial velocity $ u $ reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is [EAMCET (Engg.) 2000]

Options:

A) 1 : 1

B) 11 : 1

C) 1 : 2

D) 1 : 11

Show Answer

Answer:

Correct Answer: B

Solution:

Time of ascent $ =\frac{u}{g}=6\ \sec \Rightarrow u=60\ m/s $

distance in first second $ {h _{first}}=60-\frac{g}{2}(2\times 1-1)=55\ m $

distance in seventh second will be equal to the distance in first second of vertical downward motion $ {h _{seventh}}=\frac{g}{2}(2\times 1-1)=5\ m $

therefore $ {h _{first}}/{h _{seventh}} $

$ =11:1 $



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