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.