Path of Projectile

TRAJECTORY (PATH) OF PROJECTILE

Along y- axis  using

     

         

Along x-axis using

 

 

 

 

By this equation it can be prove that path of projectile is parabola

OTHER FORMA OF EQUATION OF TRAJECTORY

 

 

 

 

 

 

Projectile Motion when initial point and final point are at different level 

Case I Horizontal projection from certain height

Here angle of projection q = 0˚

In vertical Mirror

Using

 

   

 

 

Time to strike ground in horizontal Mirror

IN HORIZONTAL MIRROR

   

 =

   

Example: Which ball will strike the ground first

(a) Ball A          (c) Ball C

(b) Ball B         (d) All Balls will strike simultaneously

 

Solution

  

  

  

There fore all three Balls strike the ground simultaneously                      Answer (d)

Example: A jet fighter plane is flying at constant speed of 360 km/h and jet plane is moving horizontally at a height of 20 km from earth ‘s surface. Jet release a bomb to hit  a target on the ground, how much horizontal gap before jet will release the bomb

Solution

As discussed above using

 

 

 

Example: A stair case having each step 10 cm high and 20 cm wide.

If a ball drops in horizontal direction from the top step with 10 mt/sec

 in horizontal direction If ball strikes n^th step of staire case find the n?

Solution

 

           

 

 

 

Now make a twist in above question

Every  data is same except velocity of ball, if initial velocity not given , and saying what will be minimum initial velocity in above question so that ball hits 50^th step

Solution

Now x = 49 x 0.2 mt

h = 49 x 0.1 mt