) A person hurls a stone vertically up in the air with an initial velocity of 50 m.s? (Take g = 10 m.s)
i. What is the maximum height achieved by the stone?
ii. How much time does the stone take to return to the ground?
iii. Determine the average speed of the stone.
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Answer:
Final velocity, v=0
Since, u is upward & a is downward, it is a retarded motion.
∴a=−10ms
−2
Height attained by stone, s=?
Time take to attain height, t=?
(i) Using the relation, v
2
−u
2
=2as, we have
s=v
2
−u
2
/2a
=(0)
2
−(5)
2
/2×(−10)=1.25m
(ii) Using the relation, v=u+at
0=5+(−10)t or
t=5/10=0.5s
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