Two cities A and B are connected by a regular bus service with buses leaving in either direction every T seconds . The speed of each bus is uniform and equal to V_b A cyclist cycles from A to B with a uniform speed V_c (V_b >V_c ) . A bus goes fast the cyclist in T₁ second in the direction A to B and every T₂ second in the direction B to A .then

(a) T₁ = V_bT /V_b +V_c (b) T₂ =V_bT /V_b-V_c (c) T₁= V_bT/V_b --V_c (d) T₂ = V_bT/V_b --V_c

Please explain this question without using relative velocity concept

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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