1. A stone thrown vertically upwards, takes 3 s to attain maximum height. Calculate (i) initial velocity
of the stone (ii) maximum height attained by the stone. (Take g = 9.8 ms)
(i) 29.4 ms' (ii) 44.1 m)
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Answer:
Calculate initial velocity of the stone maximum height attained by the stone. (Take g = 9.8 ms −2) Concept: Rate of Change of Velocity.
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Answer:
Let,
u = Initial velocity of stone
H = Maximum height attained by the stone
v = final velocity at maximum height = 0
t = time taken to attain maximum height = 3s
a=−g= acceleration due to gravity
(i) We know that,
v=u+at
0=u−g×3
u=3g=3×9.8ms−2
u=29.4ms−1
(ii) From the equations of motion , we know that ,
s=ut+21at2
H=29.4×3+219.8×9
H=88.2+44.1
H=132.3m
Explanation:
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