A point moves rectilinearly with deceleration which depends on the velocity v of the particle as `a = k sqrtv`, 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, and what time it will take to cover that distance.

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the particle as w=asqrtv , where a is a positive constant. At the initial moment the velocity of the point is equal to v_0 . What distance will it traverse before it stops? What time will it take to cover that distance?

A point moves linearly with deceleration which is given by dv//dt=-alphasqrt(v) , where alpha is a positive constant. At the start v=v_(0) . The distance traveled by particle before it stops will be

A body of mass m is pushed with the initial velocity v_0 up an inclined plane set at an angle alpha to the horizontal. The friction coefficient is equal to k. What distance will the body cover before it stops and what work do the friction forces perform over this distance?

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.

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.

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 moves with deceleration along a circle of radius R so that at any moment 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 t and s , (b) the resultant acceleration modulus as a function of v .

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 :