Projectile motion : Bomb dropped from an aeroplane

An aeroplane moving horizontally at a speed of 200m/s and at a height of 8.0 x 10^3 is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released ?

Lorry descending a hill: Force applied by the brakes

A lorry travelling on the level road at 40 km/h can be stopped by its brakes in a distance 16 m. Find the speed from which it can be brought to rest in the same distance when descending a hill whose angle of slope is Sin^-1 [1/15]

Finding the frequency of vibration of a stretched wire.

A wire of density 9gm/cm^3 is stretched between two clamps 100cm apart subjected to an extension of 0.05 cm. What is the lowest frequency of transverse vibrations in the wire, assuming the Young's modulus to be 9x10^11 dynes/cm^ ?

Geometrical Optics (Forming images with a plane mirror)

You are 1.8 m tall and stand 3.0 m from a plane mirror that extends vertically upward from the floor. On the floor 1.5 m in front of the mirror is a small table, 0.80 m high. What is the minimum height the mirror must have for you to be able to see the top of the table in the mirror? Please include what law is used to solve.

From the graph of a traveling wave on a wire, at x1 known, obtain information required to write the wave equation y(x,t), and find the time intercepts.

As shown in ATTACHMENT #1, a wave is traveling toward +x on a wire. The motion of a point at x1= .45 m is shown. From the diagram, initial value of y is .12 meters and is increasing so initial slope is positive. The amplitude is .20 m, and the period is .5 sec. From this information, develop the equation y(x,t) of the wave, then find and show the first three time coordinates on the time axis.