Using Bernoulli's theorem, derive Torricelli's equation [Speed of Efflux]

Derive the ideal gas equation.

Using Binomial theorem evaluate the following (96)^3

Using Binomial theorem evaluate the following (99)^5

Using binomial theorem evaluate (98) ^5 .

Using Binomial theorem evaluate the following (102)^5

Using Binomial theorem evaluate the following (101)^4

A body having an initial velocity V_0 has an acceleration a. Using velocity-time graph derive an equation for displacement of the above body.

Using the given figure Find the equation of AB