An arch is the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m, from one end.

Diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.

The length of a straight thin wire is 2 m. It is uniformly charged with a positive charge of 3 C. If charge density of the wire is 1.5 x 10-6 C/m then calculate the electric intensity due to the wire at a point 1.5 m away from the centre of the wire.

A body released from rest a certain height was observed to cover 78.4 m in the last two seconds before hitting the ground. Find the height from which it was realesed. (g = 9.8 m//s^2)

A man of height 180 cm is moving away from a lamp post, at the rate of 1.2m/sec. If the height of the lamp post is 4.5 m., find the rate of which the tip of his shadow is moving.

A man of height 180 cm is moving away from a lamp post, at the rate of 1.2m/sec. If the height of the lamp post is 4.5 m., find the rates of which his shadow is lengthening

Magnetic fields at two points on the axis of a circular coil at a distance of 0.05m and 0.2 m from the centre are in the ratio 8:1 . The radius of the coil is

Point M is the midpoint of seg AB. If AB= 8, then find the length of AM.

A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5m/sec. The length of the highest point of the ladder when the foot of the ladder 4.0 m away from the wall decreases at the rate of a)2m/s b)3m/s c)2.5m/s d)1.5m/s