Can you associate vectors with:
(a) length of a wire bent into a loop
(b) a plane area
(c) a sphere? Explain.
(a) Yes, the direction of the length of a wire bent in the form of a loop is along the tangent to the loop.
(b) Yes, area is a vector whose direction is perpendicular to the plane of area.
(c) No, we cannot associate vector with the volume of the sphere.
Velocity of shell is, u = 600 m/s
Velocity of fighter plane is,
v = 720 km/hr = 200 m/s
Let the shell be fired at angle θ with vertical. To hit the fighter plane, the horizontal component of muzzle speed should be equal to the velocity of plane.
i.e.
or
or
or
The maximum height attained by the shell is,
or
Therefore the minimum altitude for safe flight is 16km.