Question

Two bullets are fired at different angles of projection (01 and 02), with the same magnitude of velocity. If they have
the same horizontal range, then at what angles they might hhave been projected?[01 and 02 < 90°)
40° and 60°​

Answer 1

Explanation:

As both projectiles have same speed and horizontal range so it is complementary angles projectile motion. For this motion, θ

1

+θ

2

=90

o

Time for flight t=

g

2usinθ

so, t

1

=

g

2usinθ

1

and t

2

=

g

2usinθ

2

thus,

t

2

t

1

=

sinθ

2

sinθ

1

=

sin(90−θ

1

)

sinθ

1

=

cosθ

1

sinθ

1

=tanθ

1