11. A ball thrown vertically upward covers
equal distances in its fourth and fifth
second. Then initial velocity of
projection will be
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Answer:
Explanation:
When a ball is thrown upwards if it occupies equal distance in successive time intervals then the ball is projects up in t second reaches the maximum height and in t+1 second it returns back. So,
distance travelled in 4th second (s4) = u-(g/2)(2t-1) = u-(10/2)*(2*4-1) = u-35
distance travelled in 5th second (s5) = u-(g/2)(2t-1) = u-(10/2)*(2*5-1) = u-45
as in the fifth second the body returns back so u is -ve and g is +ve.
So, s5= -u+45
According to the question,
s4 = s5
u-35 = -u+45
u=80/2 =40m/s
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