Q.26
A ball is projected from a point A with
some velocity at an angle 30° with the
horizontal as shown in figure. Consider a
target at point B. The ball will hit the
target if it is thrown with a velocity vo
equal to -
B9
VO
ugod
30°
(A) 5 ms-
(C) 7 ms-1
(B) 6 ms
(D) none of these
Answers
Given : A ball is projected from a point A with some velocity at an angle 30° with the horizontal
To find : Velocity at which ball thrown so that ball will hit the target
Solution:
From Figure
Horizontal Distance = √3 / 2 m
Vertical Distance = 1/2 m
Let say Speed = V m/s
Horizontal speed = V Cos30 = V√3 / 2 m/s
Vertical Speed = VSin30 = V/2 m/s
Let say Ball covers required horizontal Distance in t Sec
=> (V√3 / 2 ) t = √3 / 2
=> t = 1/V
Vertical Distance Covered
S = ut + (1/2)at²
a = -g = - 10 m/s²
S = 1/2
u = V/2
t = 1/V
=> 1/2 = (V/2)(1/V) + (1/2)(-10)(1/V)²
=> 1/2 = 1/2 - 5/V²
=> - 5/V² = 0
Hence no possible Values of V
Hence none of these is Correct option
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Answer:
none of these
Explanation:
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