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[" 14.A gun can fire shells with maximum...

[" 14.A gun can fire shells with maximum speed "V_(0)" and maximum horizontal "],[" range that can be achieved is given by "R=(v_(0)^(2))/(g)" .If a target farther "],[" away by a distance "Delta x" (beyond R) has to be hit by the same gun,show "],[" that it could be done by raising the gún to at least a height given by "],[h=Delta x[1+(Delta x)/(R)]]

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A gun can fire shells with maximum speed v_(0) and the maximum horizontal range that can be achieved is R=(v_(0)^(2))/(g) . If a target farther away by distance Deltax (beyond R) has to be hit with the same gun, show that it could that it could be achieved by raising the gun to a height at least h=Delta x[1+(Deltax)/(R)]

A gun can fire shells with maximum speed v_(0) and the maximum horizontal range that can be achieved is R=(v_(0)^(2))/(g) . If a target farther away by distance Deltax (beyond R) has to be hit with the same gun, show that it could that it could be achieved by raising the gun to a height at least h=Delta x[1+(Deltax)/(R)]

A gun can shoot a bullet upto a maximum horizontal range R .If the target is at a horizontal distance (sqrt(3)R)/2 , at what elevation angle the gun should be held to hit the target?

A rocket starts vertically upward with speed v_0 . Show that its speed v at height h is given by v_0^2-v^2=(2gh)/(1+h/R) where R is the radius of the earth.

If R is the horizontal range for theta inclination and h is the maximum height reached by the projectile, show that the maximum ragne is given by (R^(2))/(8h) + 2h .

If R is the horizontal range for theta inclination and h is the maximum height reached by the projectile, show that the maximum ragne is given by (R^(2))/(8h) + 2h .

A rocket starts vertically upward with speed v_(0) . Show that its speed v at height h is given by v_(0)^(2)-v^(2)=(2hg)/(1+h/R) where R is the radius of the earth and g is acceleration due to gravity at earth's suface. Deduce an expression for maximum height reachhed by a rocket fired with speed 0.9 times the escape velocity.