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. 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. 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. 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 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 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. 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 boy (mass of 40 kg) is standing at one end of a boat (mass of 60 kg) in still water. The length of the boat is 10 m and the boy takes 2s to reach at other end of boat moving with constant speed. Assuming no friction between the boat and the water. (i) The distance covered by the boat is 4 m (ii) The distance covered by the boy with respect to the ground is 6 m . (iii) The velocity of the boy with respect to the ground is lt 5 m//s (iv) The velocity of the boy is 3 m//s