An object is thrown at an angle `alpha` to the horizontal `(0^@ lt alpha lt 90^@)` with a velocity yo. How do the normal acceleration `w_n` and the tangential acceleration w_t` vary in the process of ascent if the drag is ignored?

An object is thrown at an angle 60^(@) above horizontal with velocity 20ms^(-1) . How do the radial acceleration a_(c) vary during ascent.

A ball of mass m is thrown at an angle alpha to the horizontal with the initial velocity v_0 . Find the time dependence of the magnitude of the ball's angular momentum vector relative to the point from which the ball is thrown. Find the angular momentum M at the highest point of the trajectory if m=130g , alpha=45^@ , and v_0=25m//s . The air drag is to be neglected.

A psrticle is projected at t = 0 with velocity u at angle theta with the horizontal. Then the ratio of the tangential acceleration and the radius of curvature at the point of projection is :

A body is thrown at an angle alpha to the horizontal with initial velocity v_0 .Assuming air drag to be negligible , find (i)the time of motion, (ii)maximum height of ascent and the horizontal range, (iii)the angle of projection at which they are equal , (iv)the angle of projection at which the horizontal range is maximum and the angle at which the vertical range is maximum.

A body thrown at an angle alpha to the horizontal with some velocity.Assuming air drag to be negligible find the value of alpha so that horizontal range and maximum hieght of ascent are equal.

A body is thrown from the surface of the Earth at an angle alpha to the horizontal with the initial velocity v_0 . Assuming the air drag to be negligible, find: (a) the time of motion, (b) the maximum height of ascent and the horizontal range, at what value of the angle alpha they will be equal to each other, (c) the equation of trajectory y(x) , where y and x are displacements of the body along the vertical and the horizontal respectively, (d) the curvature radii of trajectory at its initial point and at its peak.

A particle is projected at angle theta with horizontal with velocity v_0 at t = 0 . Find (a) tangential and normal acceleration of the particle at t = 0 and at highest point of its trajectory. (b) the radius of curvature att = 0 and highest point. .

A particle is pulled a distance l up a rough plane inclined at an angle alpha to the horizontal by a string inclined at an angle beta to the plane (beta + lt 90^@) . If the tension the string is T, the normal reaction between the partical and plane is N, the frictional force is F, and the weight of the particle is w . write down expression for the work done by each of forces.

A body of mass m is thrown at an angle alpha to the horizontal with the initial velocity v_0 Find (a) instantaneous power of gravity as a function of time and (b) mean power developed by gravity in time (i) t=0 to T , (ii) t=0 to (T)/(2) , (iii) t=(T)/(2) to t=T , where T is the time of flight.