**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