Question

A fighter plane horizontally at an altitude of 1.5 Km with speed of 720 Km/h passes directly overhead an anticraft gun. At what angle from the vertical should the gun be fired from the shell with speed of 400m/s to hit the plane in shortest time?

Answer 1

@ what angle should the shell be fired so that it reaches an altitude of 1500m? This is a fairly simple projectile question

Answer 2

u see the plane is too moving

Answer 3

@JFraser

Answer 4

I assume the shell is fired the moment the plane is immediately above the gun?

Answer 5

Speed of plane= 200m/s
let time be t
Therefore
200\(\times\) t=ucos\(\theta\)\(\times\) t
or, 200\(\times\) t=400cos\(\theta\) \(\times\)t
or, \(\theta\)=60 drgree

Answer 6

*degree

Answer 7

but @ujjwal the answer in my book is 30 degree

Answer 8

that is equal to 30 degree to vertical.

Answer 9

I used angle with horizontal

Answer 10

yes u r correct

Answer 11

thxxx

Answer 12

WC