362445 A police van is moving on a highway with a speed of 30 \(km/h\) fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 \(km/h\). If the muzzle speed of the bullet is 150 \(m/s\), with what speed does the bullet hit the thief’s car?

362446 An elevator, in which a man is standing, is moving upward with a constant acceleration of \(2\,m/{s^2}.\) At some instant when speed of elevator is 10 \(m/s\), the man drops a coin from a height of 1.5 \(m\). Find the time taken by the coin to reach the floor.

362447 A police car \(B\) is chasing a thief 's car \(A\). Cars \(A\) and \(B\) are moving at constant speed \(v_{1}=30 {~m} / {s}\) and \(v_{2}=20 {~m} / {s}\) respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car \(A\). The bullets have a velocity \(u=210 {~m} / {s}\) relative to the gun. The policeman keeps firing for an interval of \(T_{0}=40 {~s}\). The thief experiences that the time gap between the first and the last bullet hitting his car is \(\Delta t\). Find \(\Delta t\) (in \(sec\)).

362448 A bus is moving with a velocity \(10\,m{s^{ - 1}}\) on a straight road. A scooterist wishes to overtake the bus in \(100 \, s\). If the bus is at a distance of 1 \(km\) from the scooterist, with what velocity should the scooterist chase the bus?

362449 Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed \(u\) along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 \(: 2\), then the speed of each train must be:

362445 A police van is moving on a highway with a speed of 30 \(km/h\) fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 \(km/h\). If the muzzle speed of the bullet is 150 \(m/s\), with what speed does the bullet hit the thief’s car?

362446 An elevator, in which a man is standing, is moving upward with a constant acceleration of \(2\,m/{s^2}.\) At some instant when speed of elevator is 10 \(m/s\), the man drops a coin from a height of 1.5 \(m\). Find the time taken by the coin to reach the floor.

362447 A police car \(B\) is chasing a thief 's car \(A\). Cars \(A\) and \(B\) are moving at constant speed \(v_{1}=30 {~m} / {s}\) and \(v_{2}=20 {~m} / {s}\) respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car \(A\). The bullets have a velocity \(u=210 {~m} / {s}\) relative to the gun. The policeman keeps firing for an interval of \(T_{0}=40 {~s}\). The thief experiences that the time gap between the first and the last bullet hitting his car is \(\Delta t\). Find \(\Delta t\) (in \(sec\)).

362448 A bus is moving with a velocity \(10\,m{s^{ - 1}}\) on a straight road. A scooterist wishes to overtake the bus in \(100 \, s\). If the bus is at a distance of 1 \(km\) from the scooterist, with what velocity should the scooterist chase the bus?

362449 Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed \(u\) along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 \(: 2\), then the speed of each train must be:

362445 A police van is moving on a highway with a speed of 30 \(km/h\) fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 \(km/h\). If the muzzle speed of the bullet is 150 \(m/s\), with what speed does the bullet hit the thief’s car?

362446 An elevator, in which a man is standing, is moving upward with a constant acceleration of \(2\,m/{s^2}.\) At some instant when speed of elevator is 10 \(m/s\), the man drops a coin from a height of 1.5 \(m\). Find the time taken by the coin to reach the floor.

362447 A police car \(B\) is chasing a thief 's car \(A\). Cars \(A\) and \(B\) are moving at constant speed \(v_{1}=30 {~m} / {s}\) and \(v_{2}=20 {~m} / {s}\) respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car \(A\). The bullets have a velocity \(u=210 {~m} / {s}\) relative to the gun. The policeman keeps firing for an interval of \(T_{0}=40 {~s}\). The thief experiences that the time gap between the first and the last bullet hitting his car is \(\Delta t\). Find \(\Delta t\) (in \(sec\)).

362448 A bus is moving with a velocity \(10\,m{s^{ - 1}}\) on a straight road. A scooterist wishes to overtake the bus in \(100 \, s\). If the bus is at a distance of 1 \(km\) from the scooterist, with what velocity should the scooterist chase the bus?

362449 Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed \(u\) along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 \(: 2\), then the speed of each train must be:

362445 A police van is moving on a highway with a speed of 30 \(km/h\) fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 \(km/h\). If the muzzle speed of the bullet is 150 \(m/s\), with what speed does the bullet hit the thief’s car?

362446 An elevator, in which a man is standing, is moving upward with a constant acceleration of \(2\,m/{s^2}.\) At some instant when speed of elevator is 10 \(m/s\), the man drops a coin from a height of 1.5 \(m\). Find the time taken by the coin to reach the floor.

362447 A police car \(B\) is chasing a thief 's car \(A\). Cars \(A\) and \(B\) are moving at constant speed \(v_{1}=30 {~m} / {s}\) and \(v_{2}=20 {~m} / {s}\) respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car \(A\). The bullets have a velocity \(u=210 {~m} / {s}\) relative to the gun. The policeman keeps firing for an interval of \(T_{0}=40 {~s}\). The thief experiences that the time gap between the first and the last bullet hitting his car is \(\Delta t\). Find \(\Delta t\) (in \(sec\)).

362448 A bus is moving with a velocity \(10\,m{s^{ - 1}}\) on a straight road. A scooterist wishes to overtake the bus in \(100 \, s\). If the bus is at a distance of 1 \(km\) from the scooterist, with what velocity should the scooterist chase the bus?

362449 Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed \(u\) along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 \(: 2\), then the speed of each train must be:

362445 A police van is moving on a highway with a speed of 30 \(km/h\) fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 \(km/h\). If the muzzle speed of the bullet is 150 \(m/s\), with what speed does the bullet hit the thief’s car?

362446 An elevator, in which a man is standing, is moving upward with a constant acceleration of \(2\,m/{s^2}.\) At some instant when speed of elevator is 10 \(m/s\), the man drops a coin from a height of 1.5 \(m\). Find the time taken by the coin to reach the floor.

362447 A police car \(B\) is chasing a thief 's car \(A\). Cars \(A\) and \(B\) are moving at constant speed \(v_{1}=30 {~m} / {s}\) and \(v_{2}=20 {~m} / {s}\) respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car \(A\). The bullets have a velocity \(u=210 {~m} / {s}\) relative to the gun. The policeman keeps firing for an interval of \(T_{0}=40 {~s}\). The thief experiences that the time gap between the first and the last bullet hitting his car is \(\Delta t\). Find \(\Delta t\) (in \(sec\)).

362448 A bus is moving with a velocity \(10\,m{s^{ - 1}}\) on a straight road. A scooterist wishes to overtake the bus in \(100 \, s\). If the bus is at a distance of 1 \(km\) from the scooterist, with what velocity should the scooterist chase the bus?

362449 Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed \(u\) along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 \(: 2\), then the speed of each train must be: