A particle moves so that its position vector is given by Where ω is a constant.
Which of the following is true?

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

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' ?

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

A particle moves so that its position vector is given by Where ω is a constant.
Which of the following is true?