A point moves rectilinearly with deceleration which depends on the velocity v of the particle as a = k √ v , where is apositive constant. At the initial moments the velocity of the point is equal to v 0 . What distance will it cover before it stops.

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the particle as alpha=ksqrtv , where k is a positive constant. At the initial moment the velocity of the point is equal to V_0 . What distance will it take to cover that distance?

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the paticles as alpha=ksqrt(v) , where k is a positive constant .At the initial movement the velocity of the point in equal to V_(0) . What distance will it take to cover that distance?

A point moves with decleration along the circle of radius R so that at any moment of time its tangential and normal accelerations are equal in moduli. At the initial moment t=0 the velocity of the point equals v_0 . Find: (a) the velocity of the point as a function of time and as a function of the distance covered s_1 , (b) the total acceleration of the point as a function of velocity and the distance covered.

If the velocity of a particle is v = At + Bt^2 , where A and B are constant, then the distance travelled by it between 1 s and 2 s is :

If the velocity of a particle is v = At + Bt^2 , where A and B are constant, then the distance travelled by it between 1 s and 2 s is :

A particle moves rectilinearly with initial velocity u and constant acceleration a. Find the average velocity of the particle in a time interval from t=0 to t=t second of its motion.

A point moves in a straight line under the retardation av^(2) , where 'a' is a positive constant and v is speed. If the initial speed is u , the distance covered in 't' seconds is :

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

A particle having a velocity v = v_0 at t= 0 is decelerated at the rate |a| = alpha sqrtv , where alpha is a positive constant.

The force acting on a particle moving along X-axis is F=-k(x-v_0t) where k is a positive constant. An observer moving at a constant velocity v_0 along the X-axis looks the particle . What kind of motion does he find for the particle?