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.

A pariticle is moving in a circle of radius 12m . At an instant its speed is 6m//s and the speed is increasing at the rate 4m//s^(2) . Find the acceleration of the particle.

A car is moving on a circular road of radius 100m . At some instant its speed is 20m//s and is increasing at the rate of 3m//s^(2) . The magnitude of its acceleration is

If x and y co-ordinates of a particle moving in xy plane at some instant of time are x = t^(2) and y = 3t^(2)

A particle is constrained to move in a circle with a 10 -meter radius. At one instant, the particle's speed is 10 m/s and is increasing at a rate of 10 m//s^(2) . The angle between the particle's velocity and acceleration vectors is

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

A car of mass m moves in horizontal circular path of radius r meter . At an instant its speed is v m/s and in increasing at a rate of 'a' m/s^2. Then the acceleration of the car 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//s^(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)