A Rs5/- coin thrown vertically upward rises to a height of 44.1 m. Calculate, the initial velocity of the coin and the
time taken by it to gain the maximum height. [g = 9.8 m/s2]
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Answer:
Given, initial velocity, u=5ms
−1
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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