Question

What is projectile? A projectile is fired with a velocity u making an angle  with horizontal.
Show that its path is parabolic.
Find the expression for (I) maximum height attained (ii)time of flight

Answer 1

Answer:

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Explanation:

Projectile is an object projected with some velocity and its initial direction of motion makes an angle a (a >0 and a <90°) with horizontal direction.

Projetile moves in a two dimensional plane so that at given time it has vertical displacement as well as horizontal displacement from the point of projection.

Let the projetion velocity be u and let it make an angle a with horizontal x-direction.

velocity component :-ux = u cos a and uy = u sin a

displacement component :- x = u cos (a) xt and y= u sin(a)xt - (1/2) xgxt²;

by eliminating t (substitue t = x/[u cos (a) ] in y displacement),

we get for vertical displacement,

y = (tan x) x - [g/(2u²cos²x 2)]

above equation is similar to y = bx - cx², which is equation of parabola.