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CBSE Class 11-science Answered

A body is thrown vertically upward with a definite velocity from different places on the earth. Prove that the time of return of the body at a place will be inversely proportional to the acceleration of gravity at that place.
Asked by bdroy_2014 | 27 Jun, 2018, 10:00: PM
answered-by-expert Expert Answer
When a body is thrown upwards verticaly with initial speed u,
then time taken to reach the maximum height is obtained by using the formula " v = u+at " ,
using the final speed v =0, acceleration a = -g , where g is acceleration due to gravity.
 
Hence time taken t to reach maximum height is given by,
 
t = u/g ...........(1)
 
It is well known that if a body that is thrown vertically is taking certain time to reach a maximum height,
then it will take same time to reach the ground starting from maximum height.
 
Hence time taken T for the vertically thrown body to reach the ground, if it is thrown with initial speed u, is given by
 
T = (2u)/g ...................(2)
 
It is evident from eqn.(2) that time taken T is inversely proportional to g, i.e. acceleration due to gravity
Answered by Thiyagarajan K | 28 Jun, 2018, 10:12: AM
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