Projection in upwards and downwards directions

Case II Projection in upward direction with some angle with horizonta

Vertical mirror

  

sign convention

 

 

Horizontal Mirror

 

 

x = (u cosq) t

Case III Projection in downward direction with some angle with horizontal

Vertical Mirror

 

 

Horizontal Mirror

 

Projectile along inclined plane For Simplicity & understanding

 

Vertical Mirror

V = u - g t

O = u sin b - (g cosa) t

 

 

Horizontal Mirror

 

 

OB = OA Cos a

Special case of Projectile Motion

Case I

(i) Time of flight  let OQ ® x -axis

                                   OP ® y –axis

u_x = u

u_y = 0

a_x = - g sin b

a_y = - g cos b

Now

Vx = u_x + a_xt

O = u – g sin bt

 

(ii) Final velocity V

V_y = u_y + a_y t

V = 0 – g cos b

V = u cot b

(iii) Height h    

 

 

 

Now  

h = S_y sin a

 

(iv) Distance AB

 

 

 

 

Now

 

 

 

 

 

 

 

Case 2

(i) Time after which V₁  ^ V₂

Ball 1  

Ball 2  

Now 

 

g² t² = u₁ u₂

 

(ii) gap between the ball 1 and ball 2 at the time

Ball 1   x₁ = u₁ t,

 

 

Ball 2

x₂ = - u₂t

 

 

Gap between Ball 1 and Ball 2

  

  

Gap  = (u₁ + u₂) t

 

Case 3 Collision of two projectile