A particle 'A' of mass kg is moving in the positive x–direction. Its initial position is x = 0 & initial velocity is 1 . The velocity at is:(use the graph given)

The perimeter of a right triangle is 132 cm. and the sum of the squares of its sides is 6050 cm². What is the sum of the perpendicular sides –

Hence Choice 1 is correct

In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC

For such questions, we should know the Pythagoras theorem of a triangle.

In DABC, AD is the median through A and E is the produced meets in F figure. Then the value of AF is equal to

Hence AF=(1/3)AC

In the figure shown below, and . Which one of the following is a true statement?

Hence Choice 1 is correct

One of the angles of a triangle is . If the difference of other two angles is , the largest angle of this triangle has a measure of

In figure If YO and ZO are bisectors of and respectively of , find

Hence choice 4 is correct

In figure if and , find x and y.

Hence choice 2 is correct

In Figure. PS is the bisector of and . Then is equal to

Hence Choice 2 is correct

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:

Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 ):

A collar 'B' of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200 is undeformed when the collar is at 'A'. If the collar starts from rest at B' the normal reaction exerted by the track on the collar when it passes through 'A' is:

The blocks A and B shown in the figure have masses . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

Two bodies of mass are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull with constant velocity v is:

A small block slides with velocity on the horizontal frictionless surface as shown in the figure. The block leaves the surface at point C. The angle q in the figure is:

A bob hangs from a rigid support by an inextensible string of length If it is displaced through a distance (from the lowest position) keeping the string straight & released, the speed of the bob at the lowest position is: