A stone is thrown in a vertically upward direction with a speed of 10m/s. How much time will it take to reach the maximum height before it starts falling again? Was the stone under accelerated motion or decelerated motion?
[Hint: Acceleration due to gravity.g=10m/s²]
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Explanation:
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, v2−u2=2as, we have
s=v2−u2/2a
=(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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