a)Identify the scalar quantity from the following alternatives.
(i)Momentum,(ii)work,(iii)Torque,(iv)Acceleration.
b)A man throws a stone up into air at an angle `theta` with the horizontal.Draw the path of the projectile and mark directions of velocity and acceleration at the highest position.
c)Derive an expression for the maximum height reached by the stone.

A body is projected with a velocity v in a direction making an angle theta with the horizontal. a)Derive the mathematical equation of the path followed. b)Draw the velocity - time graphs for the horizontal and vertical components of velocity of the projectile. c)Obtain an expression for the time of flight of the projectile.

A stone is thrown upward from a moving train. a)Name the path followed by the stone. b)A particle is projected with a velocity u in the direction making an angle theta with the horizontal.Find: (1)Time of flight,(2)Maximum height. c)A man can jump on moon six times as high as on earth.Why?

"An object that is in flight after being thrown or projected is called a projectile" a)Which of the following remains constant throughout the motion of the projectile? (i)vertical component of velocity. (ii)Horizontal component of velocity. b)Derive an expression for a maximum range of a projectile. c)Show that range of projection of a projectile for two angels of a projection alpha and beta is same where alpha + beta =90° .

When a body is projected into air with certain initial velocity making an angle with the horizontal,it will travel in a parabolic path. a)What are the vertical and horizontal components of velocity? b)With a diagram derive an expression for: (i)maximum height (ii) time of flight. c)A ball is dropped through the window of a train travelling with high velocity,to a man standing near the track.The ball _________ (i)falls down vertically. (ii)moves straight horizontally. (iii)follows an elliptical path. (iv)follows a parabolic path.

A projectile is an object projected into air with a velocity V so that it is moving under the influence of gravity. a)What is the shape of the path of projectile? b)As a projectile moves in its path,is there any point along the path where the velocity and acceleration vectors are perpendicular to each other. c)If E is energy with a projectile is projected, (i)What is the kinetic energy at the highest point. (ii)What is P.E at highest point?

A body is projected into air at an angle theta with the horizontal. a)What is the trajectory followed by this projectile? (i) Ellipse,(ii)Parabola,(iii)Straight line,(iv)Circle. b)Give a mathematical proof for your answer. c)Trajectory of a body in a projectile motion is given by y=x-(x^2/80) . x and y are in meters.Find maximum height of this projectile.