The velocity of a particle defined by the relation v = 8 -0.02x, where v is expressed in m/s and x in meter. Knowing that x = 0 at t = 0, the acceleration at t=0 is

The velocity of a particle moving in the x direction varies as V = alpha sqrt(x) where alpha is a constant. Assuming that at the moment t = 0 the particle was located at the point x = 0 . Find the acceleration.

The velocity of particle at time t is given by the relation v=6t-(t^(2))/(6) . The distance traveled in 3 s is, if s=0 at t=0

The velocity of a particle moving in the positive direction of X-axis varies as v=5sqrt(x) . Assuming that at t = 0, particle was at x = 0. What is the acceleration of the particle ?

The velocity of a particle moving in the positive direction of X-axis varies as v=5sqrt(x) . Assuming that at t = 0, particle was at x = 0. What is the acceleration of the particle ?

The velocity of a particle moving along the positive direction of x-axis is v= Asqrt(x) , where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

The acceleration of a particle moving in straight line is defined by the relation a= -4x(-1+(1)/(4)x^(2)) , where a is acceleration in m//s^(2) and x is position in meter. If velocity v = 17 m//s when x = 0 , then the velocity of the particle when x = 4 meter is :

The acceleration of a particle moving in straight line is defined by the relation a= -4x(-1+(1)/(4)x^(2)) , where a is acceleration in m//s^(2) and x is position in meter. If velocity v = 17 m//s when x = 0 , then the velocity of the particle when x = 4 meter is :

(a) the displacement of a particle is given by s - a sin (omega t = kx) , where t is in second and x is in meter. Find the dimensions of omega and k . (b) The velocity of a praticle is given by v = v_(0) e^(-lambda t) , where t is time. Find the dimensions of v_(0) and lambda .

A particle moves in xy plane such that v_(x)=50-16 t and y=100-4t^(2) where v_(x) is in m/s and y is in m. It is also known that x=0 when t=0 . Determine (i) Acceleration of particle (ii) Velocity of particle when y=0 .