Question

If two bodies A and B are projected upwards such that the velocity of A is double the velocity of B, then the height to which the body A will rise will be two times the height to which the body B will rise............ the height to which body B will rise?

Answer 1

Answer:

Explanation:

Maximum height attained by a projectile

h =

2gR−v

2

v

2

R

. (i)

Velocity of body = half the escape velocity

v=

2

v

e

Or v=

2

2

gR

→v

2

=

4

2gR

Or v

2

=

2

gR

Now, putting value of v2 in Eq. (i),we get

h=

2gR−

2

gR

2

gR

R

=

3gR/2

gR

2

/R

Or h=

3

R