Identify the term containing `u^2` in the expression `u^3+ 3u^2 upsilon + 3u upsilon^2 + upsilon^3` and write its coefficient.

A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two point equidistanec from C. let upsilon_(p),upsilon_(Q) and upsilon_(C) be the magnitude of velocities of points P, Q, and C repsectively, (a). upsilon_(Q)gtupsilon_(C)gtupsilon_(P) (b). upsilon_(Q)ltupsilon_(C)ltupsilon_(P) (c). upsilon_(Q)=upsilon_(P),upsilon_(C)=(1)/(2)upsilon_(P) (d). upsilon_(Q)ltupsilon_(C)gtupsilon_(P)

Write the following in their standard form: 4u^(2)+u-3u^(6)+2

Find the zeros of the polynomial f(u)=4u^(2)+8u, and verify the relationship between the zeros and its coefficients.

Identify the physical quantity x defined as x = (I F upsilon^2)/(W I^3), where I is moment of inertia, F is force, upsilon is veloicty, W is work and I is length.

Identify the physical quantity x defined as x = (I F upsilon^2)/(W I^3), where I is moment of inertia, F is force, upsilon is veloicty, W is work and I is length.

What is the value of u in the system of equations 3 (2u + v) = 7uv, 3 (u + 3v) = 11uv ?

The SI unit of energy is J = kg m^2 s^(-2), that of speed upsilon is ms^(-1) and of acceleration a is ms^(-2) which of the formulae for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body). (a) K = m^2 upsilon^3 (b) K = (1)/(2)m upsilon^2 (c ) K= ma (d) K =(3)/(16)m upsilon^2 (e ) K = (1)/(2) m upsilon^2 +ma

Two bodies of equal masses move with uniform velocities upsilon and 3 upsilon respectively. Find the ratio of their kinetic energies.