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Grade 12th pass9 grade science

Prove that is a body is thrown vertically upwards , then the time of ascent is equal to the time of descent .

Profile image of Harshit Singh
4 Years agoGrade 12th pass
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1 Answer

Profile image of Yash Patari
4 Years ago
DEAR STUDENT
Suppose a body is projected in the upward direction with a velocity u and H is maximum height attained by the body.
The velocity of the body at maximum height will be zero, i.e. v = 0.
Acceleration due to gravity (g) acts on body in the downward direction.
From the first equation of motion, 
v=u+at
0=ugtascent
tascent=u/g

Let t be total time of flight. From the second equation of motion,
S=ut+1/2at2
0=t(u1/2gt)
t=0,t=2ug
Now, tascent+tdescent=t=2u
/g
tdescent=u/g

tascent=tdescent=u/g