Question

A projectile can have the same range R for two angles of projection.if T1 and T2 be the time of flights , the two cases then find the initial velocity ?

Answer 1

Answer:

Two projectile have same range if their angle of projections are complementary. Range R=

g

u

2

sin2θ

t

1

=

g

2usinθ

t

1

=

g

2usin(90−θ)

t

1

t

2

=

g

2

4u

2

sinθcosθ

=

g

2

2u

2

sin2θ

=

g

2R

The product of the two time of flights is proportional to R.

Explanation:

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Answer 2

Answer:

refer to attachment

Explanation:

The product of the two time of flights is proportional to R.