A particle describes a distance x m in t sec, given by `x = 4+5t+63t^3`. Find the velocity of the particle at the end of 2 secs and the acceleration at the end of 3 secs

The position of a particle is given by barr = 3.0thati + 2.0t^2hatj + 5.0hatk . Find the velocity of particle at t=2sec

A particle moving along a straight line is at a distance S from a point O on the line in time t, where S = t^3-6t^2+8t+5 Find the velocity when the acceleration is 12 cm//sec^2

Displacement is given by x = 1 + 2t + 3t^2 Calculate the value of instantaneous acceleration.

The distance covered by a particle in time t is given by x = a + bt+ct^2+dt^3 , find the dimensions of a,b,c and d.

A force of 100 dynes acts on a particle of mass 0.5 kg for 10 sec. Calculate the velocity of the particle and the K.E produced.

The displacement of a particle ( in meter ) moving along x axis is given by x = 18 + 5t^2 . Calculate the instantaneous velocity at t = 2S and instantaneous acceleration.

The position of a moving particle is given by x = 6 + 18t + 9t^2 where x is the distance and t is the time. What is the velocity at t = 2sec.

The acceleration of a particle in ms^(-s) is given by a =3t^2 + 2t + 2 , where time t is in seconds. If the particle starts with a velocity V = 2 ms^(-1) at t=0, find the velocity after 2 seconds.

Find the general solution of the trigonometric equation sqrt(3) sec 2theta=2