A motor boat of mass m moves along a lake with velocity `V_(0)`. At `t = 0`, the engine of the boat is shut down. Magnitude of resistance force offered to the boat is equal to rV. (V is instantaneous speed). What is the total distance covered till it stops completely? [Hint: `F(x) = mV(dV)/(dx) =- rV]`

A motor boat of mass m moves along a lake with velocity v_(0) . At t = 0, the engine of the boat is shut down. Resistance offered to the boat is equal to sigma v^(2) . Then distance covered by the boat when its velocity becomes v_(0)//2 is

A motor boat of mass m moves along a lake with velocity v_(0) . At t = 0, the engine of the boat is shut down. Resistance offered to the boat is equal to sigma v^(2) . Then distance covered by the boat when its velocity becomes v_(0)//2 is

A motor boat of mass m moves along a lake with velocity V_(0) . At the moment t=0 the engine of the boat is shut down. Assuming the resistance of water is proportional to the velocity of the boat vecF=-rvecv Q. How long the motor boat with the shut down engine.

A motor boat of mass m moves along a lake with velocity V_(0) . At the moment t=0 the engine of the boat is shut down. Assuming the resistance of water is proportional to the velocity of the boat vecF=-rvecv Q. How long the motor boat with the shut down engine.

A motor-boat of mass m moves along a lake with velocity v_(0) . At the moment t = 0 the engine of the boat is shut down. Assuming the resistance of the particle to-be proportional to the velocity of the boat F = - rv, find: (a) How long the motor boat moved with the shut down engine, (b) (b) The velocity of the motor boat as a function of the distance covered with the shutdown engine, as well as total distance covered till the complete stop. (c ) The mean velocity of the motor boat over the time interval (beginning with the moment t=0), during which its velocity decreases eta times.

A motor boat of mass m moves along a lake with velocity V_(0) . At the moment t=0 the engine of the boat is shut down. Assuming the resistance of water is proportional to the velocity of the boat vecF=-rvecv Q. The velocity (v) of the motor boat as a function of the distance (s) covered with the shutdown engine is

A motor boat of mass m moves along a lake with velocity V_(0) . At the moment t=0 the engine of the boat is shut down. Assuming the resistance of water is proportional to the velocity of the boat vecF=-rvecv Q. The velocity (v) of the motor boat as a function of the distance (s) covered with the shutdown engine is

A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. Total distance covered by the particle is

A motor boat is moving in a straight line. Its velocity is V when the motor is shut off. If the retardation at any subsequent time is equal to the magnitude to its velocity at that time, find its velocity and the distance travelled in time t after the motor is shut off.