A particle is projected from the ground and simultaneously a wedge starts moving towards the right, as shown in the figure. The maximum height of the wedge for which the particle will not hit the wedge is [g = 10 ms -2 ]

Text Solution
Verified by ExpertsThe correct answer is:
A
Initial velocities of the particle
u x = 10 cos 53 = 6 m/s
u y = 10 sin 53 = 8 m/s
6t = 1 + t + x.
[where x is the length of the hypotenuse of the wedge]
5t = 1 +
(in x - direction)
8t - 5t 2 = 4.
(in y - direction)
x=
m
Height =
m
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