A projectile is fired at `60^(@)` with horizontal as shown It is observed from a frame accelerated along +x at `(g)/(sqrt(3))` .The shape of the path observed is `qquad y (A) y (B) x`

Let x, y, z be three observations. The mean of these observations is

Imagine a smooth tunnel along a chord of nonrotating earth at a distance (R)/(2) from the centre. R is the radius of the earth. A projectile is fired along the tunnel from the centre of the tunnel at a speed V_(@)=sqrt(gR) [g is acceleration due to gravity at the surface of the earth]. (a) Is the angular momentum [about the centre of the earth] of the projectile onserved as it moves along the tunnel? (b) Calculate the maximum distance of the projectile from the centre of the earth during its course of motion.

On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y-axis ( see figure) with a constant velocity of (sqrt(3)-1) m//s . At a particular instant , when the line OA makes an angle of 45(@) with the x - axis , a ball is thrown along the surface from the origin O . Its velocity makes an angle phi with the x -axis and it hits the trolley . (a) The motion of the ball is observed from the frame of the trolley . Calculate the angle theta made by the velocity vector of the ball with the x-axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = (4 theta )//(4) .

A body projected horizontally from the top of a tower follows y=20x^(2) parabola equation where x,y are in m (g=10 m//s^(2)) .Then the velocity of the projectile is (ms^(-1))

A charged particle is fired at an angle theta to a uniform magnetic field directed along the x- axis. During its motion along a helical path, if the pitch of the helical path is equal to the maximum distance of the particle from the x- axis

Observe the above graph and identify x, y, z.

A projectile is fired horizontally from an inclined plane (of inclination 45^(@) with horizontal) with speed=50m/s. If g=10m//s^(2) , the range measured along the incline is

A trolley is moving with velocity v_(1) in the horizontal direction . A bullet is fired from his trolley in the upward direction with a speed v_(2) . Observer is standing on the ground and observes the bullet to be moving in a parabolic path. What will be the range of projectile ?

A steel is suspended in an accelerating cabin by two cords A and B If the accelerration of the frame is a=(g)/(3sqrt(3)) then the tesion in A is x times the tension in B Find x.