Here, u = 30 m/s,
∴
and
Let the stone reaches the ground after time t.
Here,
or
The distance from the foot of tower where the stone will hit the ground is,
s = u x t = 25.98 x 5 = 104.9m
Define relative velocity.
Relative velocity of a body A w.r.t. B is the velocity with which A appears to move to B, if B were at rest.
If is the velocity of A, and is the velocity of B, then relative velocity of A w.r.t. B is,
Horizontal range is given by,
Therefore the ratio of horizontal ranges R1 and R2 for angles of projections θ1 and θ2 is,
∴
We have here,
Therefore,
, which is not possible.
Therefore for same speed of bullet, the bullet can not hit the body at a distance of 6·5km.