A triangle is called a right triangle if one of its angles is 90°. The Pythagorean theorem is an equation that can be used to calculate the missing side length in a right triangle. In this type of vector addition,
the magnitude of the resultant is the hypotenuse of a right triangle.
The hypotenuse, R, of a right triangle is the side of the triangle opposite the 90° angle. The angle
opposite side A is a, and the angle opposite side B is b. The Pythagorean theorem states that
RP = A2 + B2. For example, if A= 3.0 cm and B = 4.0 cm, the length of R can be found by using the
Pythagorean theorem.

Molten iron fills a mould, which has a volume of 200 cm cubed. calculate the volume when the iron cools and solidifies.

Ablock having mass m slides down an inclined plane. the force of friction between the block and the inclined plane is f, the block's weight is m g, and the normal force is n. (a) draw a free – body force diagram showing the forces acting on the block. (b) write down all relevant newton’s equations for a given situation.

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i.e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i.e. include the distance traveled to the first encounter)