The equations of motion of a particle `P(x,y)` on a plane are given by `x=4+r. cos t, y=6+r. sin t`, where t is time and r is constant . Its velocity at time t is

The equation of motion for an oscillating particle is given by x = 3 sin 4pi t + 4 cos pi t where x is in mm and t is in second. The particle

The equation of motion of a particle starting at t=0 is given by x=5sin(20t+π/3) , where x is in centimeter and t is in second. When does the particle come to rest for the second time?

The displacement of a body is given by r=sqrt(a^(2)-t^(2))+t cost^(2) , where t is the time and a is constant. Its velosity is :

The coordinates of a moving particle at any time t are given by x = ct and y = bt. The speed of the particle at time t is given by

The co-ordinates of a moving particles at a time t , are give by, x = 5sin 10t, y = 5 cos 10t . The speed of the particle is:

x = a (cos t + sin t), y = a (sin t-cos t)

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is