Q 7 Projectile motion with an initial velocity u, The time t, at which its magnitude of
horizontal will equal the magnitude of vertical velocity is :
• — (cosa—sin a) (B) t
sin a) (C) t
= — (sin a — cosu) (D) t = — (sin2 — cose a) .
5. projected from a horizontal plane (x-z plane) such that its velocity vector at time t is given by
- = ai+ (b —d);. Its range on the horizontal plane is given by :
3ba
(D) None
6. A particle is dropped from a height h . Another particle which was initially ata horizontal distance 'd' from
the first. is simultaneously projected with a horizontal velocity 'u' and the two particles just collide on the
ground . The three quantities h. d and u are related as :
(D) gd2 = u2h
7. A person can throw a stone to a maximum horizontal distance of h. The greatest height to which he can throw
(C)2h
A particle is moving in a plane with velocity given by ü = + (amcosmt)j , where and j are unit vectors
along x and y axes respectively. If particle is at the origin att = 0. Find the equation of the trajectory of
the påHjcle:
uo
(A) y = asin —
(B) y —asin —
1
(C) y = —.sin —e-
(D) Y = —sin
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