# Question #c94d1

##### 1 Answer

A projectile is projected from the origin with initial velocity

Equation of the trajectory is given by the kinematic expression

#s=ut+1/2at^2# .

As

**In the vertical direction**.

Noting that the gravity is acting against the direction of motion

we have

#y = (u sin theta)t - 1/ 2 g t^2# ......(1)

**In the horizontal direction**.

Ignoring air resistance

#x = (u cos θ)t# ........... (2)

**To combine both equations**.

Eliminate

Writing second term on the RHS in terms of

#y= x tan θ − (g x ^2)/( 2 v ^2 )( 1 + tan ^2 θ )#

Is the required equation of trajectory.