The variation of radius of a circle with time is given by the relation `r=(2t+3)m` , where `t` is time in second. The rate of change of area of the circle at `t=1s` will be

The area of a circle is given by A= pi r^(2) , where r is the radius. Calculate the rate of increase of area w.r.t radius.

The position (in meters) of a particle moving on the x-axis is given by: x=2+9t +3t^(2) -t^(3) , where t is time in seconds . The distance travelled by the particle between t= 1s and t= 4s is m.

The voltage supplied to a circuit is given by V=V_(0)t^(3/2) , where t is time in second. Find the rms value of voltage for the period, t=0 to t=1s.

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

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

A particle of mass 1 kg moves in a circular path of radius 1 m such that its speed varies with time as per equation v=3t^(2)m//s where time t is in seconds. The power delivered by the force acting on the paritcle at t=1s , is :-

The angular displacement of a particle is given by theta = t^4 +t^3 +t^2 +1 where ‘t’ is time in seconds. Its angular velocity after 2 sec is

The position of a particle is expressed as vecr = ( 4t^(2) hati + 2thatj) m, where t is time in second. Find the velocity o the particle at t = 3 s

The velocity of a particle is given by v=(4t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=1 second.

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.