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A projectile is fired from the surface of the earth with a velocity of
with the horizontal. Another projectile fired from another planet with a velocity of
at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is
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- 1)A projectile is fired from the surface of the earth with a velocity of with the horizontal. Another projectile fired from another planet with a velocity of
at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is
- 2)The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos(ωt)
Where X = displacement at time t
ω = frequency of oscillation
Which one of the following graphs shows correctly the variation 'a' with 't' ?
- 3)A bullet is fired from a gun at the speed if
in the direction 30° above the horizontal . The maximum height attained by the bullet is
- 4)A particle moves so that its position vector is given by
Where ω is a constant.
Which of the following is true? - 5)A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. I this particle were projected with the same speed at an angle ‘θ’ to the horizontal, the maximum height attained by it equals 4R. The angle of projection, θ, is then given by:
- 6)The speed of a swimmer in still water is 20 m/s. The speed of river water is 10 m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path the angle at which he should make his strokes w.r.t. north is given by :
- 7)The x and y coordinates of the particle at any time are x = 5t – 2t² and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is
- 8)The position vector of a particle
as a function of time is given by:
Where R is in meters, t is in seconds and
and
denote unit vectors along x- and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
- 9)Two particles A and B move with constant velocities
and
At the initial moment their position vectors
respectively. The condition for particles A and B for their collision is:
- 10)A projectile is fired from the surface of the earth with a velocity of with the horizontal. Another projectile fired from another planet with a velocity of
at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is
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