An aeroplane is flying vertically upwards. When it is at a height of `1000 m` above the ground and moving at a speed of `367 m//s`., a shot is fired at it with a speed of 567 `ms^(-1)` from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit?

Options

A. `gt5ms^(-2)`
B. `gt10 ms^(-2)`
C. `lt10 ms^(-2)`
D. Not possible

Answer

B

Explanation

b. `0 = (200)^2 - 2(a_(rel))(1000)`
or `a_(rel) = 20ms^(-2)`
So to avoit the hit,
`a_(rel) gt 20ms^(-2)`
or `a_(p) gt 10ms^(-2)`.