Mathematics In ...

The resultant force acting on particle is:

A= 4i + 4j − 4k and B = 3i + j + 4k, then angle between vectors A and B is:

If vectors  and  are functions of time. Then, at what value of t are they orthogonal to one another?

Six vectors  through  have the magnitudes and directions indicated in the figure. Which of the following statements is true? 

 are two vectors and θ is the angle between them.

If 

then the value of θ will be:

If a curve is governed by the equation y=sinx, then the area enclosed by the curve and x-axis between x =0 and x = π is (shaded region) :

The acceleration of a particle starting from rest varies with time according to relation, a = α t + β. The velocity of the particle at time instant t is: (Here, a = dv/dt)

The displacement of the particle is zero at t=0 and at t=t it is x. It starts moving in the x-direction with a velocity that varies as v = k√x, where k is constant. The velocity will : 

(Here, v = dx/dt)

The acceleration of a particle is given as a = 3x². At t = 0, v = 0 and x = 0. It can then be concluded that the velocity at t = 2 sec will be: 

The acceleration of a particle is given by a=3t  at t=0, v=0, x=0. The velocity and displacement at t = 2 sec will be: