141226 From the top of a tower of height ' \(\mathrm{H}\) ' a body is thrown vertically upwards with a speed ' \(u\) '. Time taken by the body to reach the ground is ' 3 ' times the time taken by it to reach the highest point in its path. Then the speed \(u\) is

141227 A particle first accelerates from rest and then retards to rest during the time interval of \(8 \mathrm{~s}\). If the retardation is 3 times the acceleration, then the time for which it accelerated is

141228 Three particles \(A, B\) and \(C\) simultaneously start from the origin. Particle \(A\) moves with a velocity ' \(a\) ' along \(X\)-axis, particle \(B\) moves with a velocity ' \(b\) ' along \(Y\)-axis and particle \(C\) moves with a velocity ' \(c\) ' in the \(X-Y\) plane along the straight line \(x=y\). The magnitude of ' \(c\) ' so that all the three particles always remain collinear is

141229 A particle is moving with speed \(v=b \sqrt{x}\) along positive \(\mathrm{X}\)-axis. Calculate the speed of the particle at time \(t=\tau\) (assume that the particle is at origin at \(t=0\) ).

141226 From the top of a tower of height ' \(\mathrm{H}\) ' a body is thrown vertically upwards with a speed ' \(u\) '. Time taken by the body to reach the ground is ' 3 ' times the time taken by it to reach the highest point in its path. Then the speed \(u\) is

141227 A particle first accelerates from rest and then retards to rest during the time interval of \(8 \mathrm{~s}\). If the retardation is 3 times the acceleration, then the time for which it accelerated is

141228 Three particles \(A, B\) and \(C\) simultaneously start from the origin. Particle \(A\) moves with a velocity ' \(a\) ' along \(X\)-axis, particle \(B\) moves with a velocity ' \(b\) ' along \(Y\)-axis and particle \(C\) moves with a velocity ' \(c\) ' in the \(X-Y\) plane along the straight line \(x=y\). The magnitude of ' \(c\) ' so that all the three particles always remain collinear is

141229 A particle is moving with speed \(v=b \sqrt{x}\) along positive \(\mathrm{X}\)-axis. Calculate the speed of the particle at time \(t=\tau\) (assume that the particle is at origin at \(t=0\) ).

141226 From the top of a tower of height ' \(\mathrm{H}\) ' a body is thrown vertically upwards with a speed ' \(u\) '. Time taken by the body to reach the ground is ' 3 ' times the time taken by it to reach the highest point in its path. Then the speed \(u\) is

141227 A particle first accelerates from rest and then retards to rest during the time interval of \(8 \mathrm{~s}\). If the retardation is 3 times the acceleration, then the time for which it accelerated is

141228 Three particles \(A, B\) and \(C\) simultaneously start from the origin. Particle \(A\) moves with a velocity ' \(a\) ' along \(X\)-axis, particle \(B\) moves with a velocity ' \(b\) ' along \(Y\)-axis and particle \(C\) moves with a velocity ' \(c\) ' in the \(X-Y\) plane along the straight line \(x=y\). The magnitude of ' \(c\) ' so that all the three particles always remain collinear is

141229 A particle is moving with speed \(v=b \sqrt{x}\) along positive \(\mathrm{X}\)-axis. Calculate the speed of the particle at time \(t=\tau\) (assume that the particle is at origin at \(t=0\) ).

141226 From the top of a tower of height ' \(\mathrm{H}\) ' a body is thrown vertically upwards with a speed ' \(u\) '. Time taken by the body to reach the ground is ' 3 ' times the time taken by it to reach the highest point in its path. Then the speed \(u\) is

141227 A particle first accelerates from rest and then retards to rest during the time interval of \(8 \mathrm{~s}\). If the retardation is 3 times the acceleration, then the time for which it accelerated is

141228 Three particles \(A, B\) and \(C\) simultaneously start from the origin. Particle \(A\) moves with a velocity ' \(a\) ' along \(X\)-axis, particle \(B\) moves with a velocity ' \(b\) ' along \(Y\)-axis and particle \(C\) moves with a velocity ' \(c\) ' in the \(X-Y\) plane along the straight line \(x=y\). The magnitude of ' \(c\) ' so that all the three particles always remain collinear is

141229 A particle is moving with speed \(v=b \sqrt{x}\) along positive \(\mathrm{X}\)-axis. Calculate the speed of the particle at time \(t=\tau\) (assume that the particle is at origin at \(t=0\) ).