Two busses A and B are at positions 50m and 100m from the origin at time t=0. They start moving in the same direction simultaneously wi8th uniform velocities of `10ms^(-1)` and `5ms^(-1)` . Determine the time and position at which A overtakes B.

Two buses A and B are at positions 60 m 160 m from the origin at time t=0 . They start moving in the same direction simultaneously with uniform speed 54 km h^(-1) and 36 km h^(- ) . Derermine the time and positiona t which A overtaken B .

Two cars (A) and (B) are at positions 100 m and 200 m from the origin at time t=0 . They start simultaneously with velocities 10 ms^(-1) respectively. The car (A) will overtake the car (B) at a distance of .

Two trains, each 50 m long, are travelling in opposite directions with velocities 10 ms^-1 and 15 ms^-1 . The time of their crossing each other is.

From the top of a tower of height H, identical bodies,A and B ,are thrown horizontally with velocities 100m s^(-1) and 50m s^(-1) in the same direction at the same instant. Then

Two cars A and B are at rest at the origin O. If A starts with a uniform velocity of 20 m// s and B starts in the same direction with a constant acceleration of 2 m//s^(2) , then the cars will meet after time

Buses A and B are moving in the same direction with speed 20 ms^(-1) and 15 ms^(-1) respectively. Find the relative velcoity of A w.r.t. B and relative velocity of B w.r.t. A.

Two bodies of masses 3 kg and 4 kg are moving along X axis. At a time t, the bodics are at a distance of 2 m and 3 m from the origin and has velocities of 2 ms^(-1) and-3 ms^(-1) . Calculate the position and velocity of centre of mass. What will be the total momentum of the system?

A stone is dropped from a height of 100m .At the same instant another stone is projected vertically upwards with velocity of 50ms^(-1) .If g=10ms^(-2) ,the height from the ground at which the 2 stones meet is

A situation is shown in which two objects A and B start their motion from same point in same direction. The graph of their velocities against time is drawn. u_A and u_B are the initial velocities of A and B respectively. T is the time at which their velocities become equal after start of motion. You cannot use the data of one question while solving another question of the same set. So all the questions are independent of each other. 7. After 10 s of the start of motion of both objects A and B, find the value of velocity of A if u_A = 6 ms^-1 , u_B = 12 ms^-1 and at T velocity of A is 8 ms^-1 and T = 4s

A body is moving along the +ve x-axis with uniform acceleration of -4ms^(-2) . Its velocity at x=0 is 10ms^(-1) . The time taken by the body to reach a point at x=12m is