Question

Four bodies are projected with the same velocities at angles 30∘,40∘,55∘30∘,40∘,55∘ and 65∘65∘ with the horizontal. The horizontal range will be largest for the one projected at an angle.​

Answer 1

Explanation:

Let u be the equal speed of all four bodies.

Range, R=

g

u

2

sin2θ

Range of A, R

1

=

g

u

2

sin30

o

=

2g

u

2

Range of B, R

2

=

g

u

2

sin60

o

=

2g

3

u

2

Range of C, R

3

=

g

u

2

sin90

o

=

g

u

2

Range of D, R

4

=

g

u

2

sin120

o

=

2g

3

u

2