An arch is in the shape of a parabola whose axis is vertically downward and measures 80 meters across the bottom on the ground.Its highest point is 24 meters.Then the measure of the horizontal beam across the section at a height of 18 meters is

An arch is in the shape of a parabola whose axis is vertically downwords and measures 80 mts across its boltom on the ground. Its highest point is 24 mts. The measure of the horizontal beam across its cross section at a height or 18 mts is

An arch is built so that it has the shape of a parabola with the equation y=-3x^(2)+24x where y represents the height of the arch in meters. How many times greater is the maximum height of the arch than the width of the arch at its base?

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part. The horizontall part is 1.0 meter above the ground level and the top of the track is 2.4 meter above the ground. Find the distance on the ground with respect to a point B ( which is vetically below the end A of the track as shown in fig.) where the sphere lands. . (A) 1 m (B) 2 m ( C) 3 m (D) 4 m .

The distance of a particle moving on a circle of radius 12 m measured from a fixed point on the circle and measured along the circle is given by s=2t^(3) (in meters). The ratio of its tangential to centripetal acceleration at t = 2s is

Two forces each of 5 N act vertically upwards and downwards respectively on the two ends of a uniform meter rule which is placed at its mid-point as shown in the diagram. Determine the magnitude of the resultant moment of these forces about the midpoint.

Some portion of a 20 meters long tree is broken by the wind and its top struck the ground at an angle of 30 ^@ .Find the height of the point where the tree is broken.

A ball is thrown horizontally from the top of a lower of unkown height .Ball strikes a vertical wall whose plane is normal to the plane of month of ball Collison is elastic and ball falls on ground exactly at the midpoints between the lower and the wall ball strikes the grouind at an angle of the 30^(@) with horizontal .Find the hieght of the tower (in meter)

Taking horizontal ground as xz - plane and y-axis vertically upwards. A particle is projected from the horizontal ground from a point whose position vector is hati + hatk meter with initial velocity 2i +3j+k from the origin when it hits ground is given by (1)/(5)[11hati+n hatk] , find n . (Take g = 10 m//s^(2) in negative y - direction)

The height of a tower is h meter, A body is thrown from the top of tower vertically upwards with some speed, it takes t_(1) seconds to reach the ground. Another body thrown from the top of tower with same speed downwards and takes t_(2) seconds to reach the ground. If third body, released from same place takes 't' second to reach the ground, then

A particle is ejected from the tube at A with a velocity V at an angle theta with the verticle y-axis at a height h above the ground as shown. A strong horizontal wind gives the particle a constant horizontal acceleration a in the positive x-direction. If the particle strikes the ground at a point directly under its released position and the downward y-acceleration is taken as g then find h.