A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: `v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2)`. The rate of change of speed at this moment is

A particle is moving in xy-plane .At certain instant the components of its velocity and acceleration are as follows u_(x) = 3m//s,u_(y)=4m//s,a_(x)=2m//s^(2)"and"a_(y)=1m//^(2). The rate of change of speed at this moment is (a) 4.m//s^(2) (b) 2,m//s^(2) (c) sqrt3.m//s^(2) (d) sqrt5 .m//s^(2)

A particle is moving in xy-plane .At certain instant the components of its velocity and acceleration are as follows u_(x) = 3m//s,u_(y)=4m//s,a_(x)=2m//s^(2)"and"a_(y)=1m//s^(2). The rate of change of speed at this moment is

A particle is moving in x- y plane as shown.The rate of change of speed at point P is 2m/sec find the acceleration a_(y) along y -axis v_(y)=4m/sec ,

Path of a particle moving in x-y plane is y=3x+4 . At some instant suppose x - component of velocity is 1m//s and it is increasing at a constant rate of 1m//s^(2) . Then at this instant.

Path of a particle moving in x-y plane is y=3x+4 . At some instant suppose x - component of velocity is 1m//s and it is increasing at a constant rate of 1m//s^(2) . Then at this instant.

Two billiard balls are rolling on a flat table. One has the velocity components v_(x) = 1 ms^(-1), v_(y) = sqrt(3)ms^(-1) and the other has components v'_(x) = 2ms^(-1) and v'_(y) = 2ms^(-1) . If both the balls start moving from the same point, what is the angle between their paths ?

A particle moves in XY plane such that its position, velocity and acceleration are given by vec(r)=xhat(i)+yhat(j), " "vec(v)=v_(x)hat(i)+v_(y)hat(j), " "vec(a)=a_(x)hat(i)+a_(y)hat(j) Which of the following condition is correct if the particle is speeding down? A. xv_(x)+yv_(y) lt 0 B. xv_(x)+yv_(y) gt 0 C. a_(x)v_(x)+a_(y)v_(y) lt 0 D. a_(x)v_(x)+a_(y)v_(y) gt 0

Two billiard balls are rolling on a flat table . One has the velocity component V_(x) = 1 ms^(-1) , V_(y) = sqrt(3) m^(-1) and the other has components V_(x) = 2 ms^(-1) and V_(y)=2 ms^(-1) .If both the balls start moving from the same point , what is the angle between their paths ?

A particle is moving on a circular path of 10 m radius. At any instant of time, its speed is 5ms^(-1) and the speed is increasing at a rate of 2ms^(-2) . At this instant, the magnitude of the net acceleration will be

A particle is moving on a circular path of 10 m radius. At any instant of time, its speed is 5ms^(-1) and the speed is increasing at a rate of 2ms^(-2) . At this instant, the magnitude of the net acceleration will be