A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece?

A shell is fired from a canon with a velocity theta at angle with the horizontal direction. At the highest point in its path it explodes into two pieces of equal masses. One of the pieces retraces its path to the canon. The speed of the other piece immediately after the explosion is:

The total cost of a certain length of a piece of cloth is Rs. 200. If the piece was 5 m longer, each metre of cloth would cost Rs. 2 less and the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre ?

An explosion blows a rock into three pieces. Two pieces go off at right angles to each other. One of these two pieces of mass 1 kg moves with 12 m//s and other of mass 2 kg moves with 8 m/s. If the velocity of the third piece is 40 m//s, then its mass is:

A piece of wire of resistance 4 ohm is bent through 180 at its mid point and the two halves are twisted together. Then the resistance is