Projectile Motion

A particle is projected from level ground near the surface of earth with intitial velocity vecu = u_(x) hati + u_(y) hatj ,as shown in the figure. If a(x) and a_(y) are the components of acceleration in horizontal and vertically downward directions then Match the following columns. {:("Column I" , "Column II") , (" (A) Projectile motion" , "(p) Uniform motion") ("(B) A block sent sliding on a smooth horizontal surface" , "(q) Unifromly accelerated motion"),("(C) Unifrom circular motion " , " (r) motion with non- uniform acceleration" ) , (" (D) Swing of pendulum " , "(s) Non-uniform motion"):}

Trajectory of particle in a projectile motion is given as y=x- x^(2)/80 . Here, x and y are in meters. For this projectile motion, match the following with g=10 m//s^(2) . {:(,"Column-I",,"Column-II"),((A),"Angle of projection (in degrees)",(P),20),((B),"Angle of velocity with horizontal after 4s (in degrees)",(Q),80),((C),"Maximum height (in meters)",(R),45),((D),"Horizontal range (in meters)",(S),30),(,,(T),60):}

A particle is projected at an angle theta from horizontal with velocity v and having time of flight T_(1) . If the above projectile motion were to take place in a closed box, then which of the following combination would live minimum rectangular area in the plane of motion for an uninterrupted motion.

A particle is projected at an angle of theta with the horizontal, with initial speed u .If the magnitude of velocity of projectile motion and time are related as v^(2)-100t^(2)+400t-800=0 . Then which of the following is/are correct. (Take g=10m//s^(2) )

A particle is projected from a point P (2,0,0)m with a velocity 10(m)/(s) making an angle 45^@ with the horizontal. The plane of projectile motion passes through a horizontal line PQ which makes an angle of 37^@ with positive x-axis, xy plane is horizontal. The coordinates of the point where the particle will strike the line PQ is

A particle is projected from a point P (2,0,0)m with a velocity 10(m)/(s) making an angle 45^@ with the horizontal. The plane of projectile motion passes through a horizontal line PQ which makes an angle of 37^@ with positive x-axis, xy plane is horizontal. The coordinates of the point where the particle will strike the line PQ is

In the following questions a statement of assertion (A) is followed by a statement of reason ( R). A : Horizontal metion of projectile without effect of air is uniform motion. R : Without air effect the horizontal acceleration of projectile is zero .

In dealing with motion of projectile in air, we ignore effect of air resistance on motion. This gives trajectory as a parabola as you have studied. What would the trajectory look like it air resistance is included . Sketch such a trajectory and explain why you have drawn it that way.

The kinetic energy of a projectile at its highest position is K . If the range of the projectile is four times the height of the projectile, then the initial kinetic energy of the projectile is .

Two projectiles A and B are projected with angle of projection 15^0 for the projectile A and 45^0 for the projectile B. If R_A and R_B be the horizontal range for the two projectile then.