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The key fact here is in free fall everything accelerates at the same rate. Acceleration is equal to 9.81 m/s² (accleration of free fall). This means provided you drop both at the same height, a...

First we differentiate the substitution giving, du/dx=-sinx, which is rearanged to dx=du/-sinx. we can then substitute this into the integral to get sinx e^cosx+1 du/-sinx which can be simplified to -e^co...

This depends on the path of the object and what information you have.
You could be looking at conservation of kinetic and gravitational potential energy. Total energy must be the same at all times. ...

Student should calculate the moments about the pivot point (from diagram recognise this is the centre of the see-saw) for each child. Using the equation, moment = mass x acceleration x distance from pivot...

The covection current forms because the base of the pan heats up as it gains energy from the stove via conduction, the pan then subsequently heats the water that is close to the bottom. As the water gains...