Kinematic Equations
PHXI03:MOTION IN A STRAIGHT LINE

362323 A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\,cm\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

1 \(24\,cm\)
2 \(28\,cm\)
3 \(30\,cm\)
4 \(27\,cm\)
PHXI03:MOTION IN A STRAIGHT LINE

362324 The velocity acquired by a body moving with uniform acceleration is \(30\;m{s^{ - 1}}\) in 2 seconds and \(60\;m{s^{ - 1}}\) in four seconds. The initial velocity is

1 \(4\;m{s^{ - 1}}\)
2 \(0\;m{s^{ - 1}}\)
3 \(2\;m{s^{ - 1}}\)
4 \(10\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362325 A small block slides without friction down an inclined plane starting from rest. Let \({S_n}\) be the distance travelled from time \(t = n - 1\,{\rm{to}}\,t = n\). Then \(\frac{{{S_n}}}{{{S_{n + 1}}}}\) is

1 \(\frac{{2n - 1}}{{2n}}\)
2 \(\frac{{2n - 1}}{{2n + 1}}\)
3 \(\frac{{2n}}{{2n + 1}}\)
4 \(\frac{{2n + 1}}{{2n - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362326 A bullet is fired into a fixed target loses one third of its velocity after travelling \(4\;cm\). If penetrates further \(D \times {10^{ - 3}}\;m\) before coming to rest. The value of \(D\) is :

1 33
2 34
3 35
4 32
PHXI03:MOTION IN A STRAIGHT LINE

362327 The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}{\rm{m}}{{\rm{s}}^{{\rm{ - 2}}}}\), in the third second is

1 \(6 \, m\)
2 \(\frac{{10}}{3} \, m\)
3 \(4\, m\)
4 \(\frac{{19}}{3} \, m\)
PHXI03:MOTION IN A STRAIGHT LINE

362323 A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\,cm\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

1 \(24\,cm\)
2 \(28\,cm\)
3 \(30\,cm\)
4 \(27\,cm\)
PHXI03:MOTION IN A STRAIGHT LINE

362324 The velocity acquired by a body moving with uniform acceleration is \(30\;m{s^{ - 1}}\) in 2 seconds and \(60\;m{s^{ - 1}}\) in four seconds. The initial velocity is

1 \(4\;m{s^{ - 1}}\)
2 \(0\;m{s^{ - 1}}\)
3 \(2\;m{s^{ - 1}}\)
4 \(10\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362325 A small block slides without friction down an inclined plane starting from rest. Let \({S_n}\) be the distance travelled from time \(t = n - 1\,{\rm{to}}\,t = n\). Then \(\frac{{{S_n}}}{{{S_{n + 1}}}}\) is

1 \(\frac{{2n - 1}}{{2n}}\)
2 \(\frac{{2n - 1}}{{2n + 1}}\)
3 \(\frac{{2n}}{{2n + 1}}\)
4 \(\frac{{2n + 1}}{{2n - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362326 A bullet is fired into a fixed target loses one third of its velocity after travelling \(4\;cm\). If penetrates further \(D \times {10^{ - 3}}\;m\) before coming to rest. The value of \(D\) is :

1 33
2 34
3 35
4 32
PHXI03:MOTION IN A STRAIGHT LINE

362327 The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}{\rm{m}}{{\rm{s}}^{{\rm{ - 2}}}}\), in the third second is

1 \(6 \, m\)
2 \(\frac{{10}}{3} \, m\)
3 \(4\, m\)
4 \(\frac{{19}}{3} \, m\)
PHXI03:MOTION IN A STRAIGHT LINE

362323 A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\,cm\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

1 \(24\,cm\)
2 \(28\,cm\)
3 \(30\,cm\)
4 \(27\,cm\)
PHXI03:MOTION IN A STRAIGHT LINE

362324 The velocity acquired by a body moving with uniform acceleration is \(30\;m{s^{ - 1}}\) in 2 seconds and \(60\;m{s^{ - 1}}\) in four seconds. The initial velocity is

1 \(4\;m{s^{ - 1}}\)
2 \(0\;m{s^{ - 1}}\)
3 \(2\;m{s^{ - 1}}\)
4 \(10\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362325 A small block slides without friction down an inclined plane starting from rest. Let \({S_n}\) be the distance travelled from time \(t = n - 1\,{\rm{to}}\,t = n\). Then \(\frac{{{S_n}}}{{{S_{n + 1}}}}\) is

1 \(\frac{{2n - 1}}{{2n}}\)
2 \(\frac{{2n - 1}}{{2n + 1}}\)
3 \(\frac{{2n}}{{2n + 1}}\)
4 \(\frac{{2n + 1}}{{2n - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362326 A bullet is fired into a fixed target loses one third of its velocity after travelling \(4\;cm\). If penetrates further \(D \times {10^{ - 3}}\;m\) before coming to rest. The value of \(D\) is :

1 33
2 34
3 35
4 32
PHXI03:MOTION IN A STRAIGHT LINE

362327 The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}{\rm{m}}{{\rm{s}}^{{\rm{ - 2}}}}\), in the third second is

1 \(6 \, m\)
2 \(\frac{{10}}{3} \, m\)
3 \(4\, m\)
4 \(\frac{{19}}{3} \, m\)
PHXI03:MOTION IN A STRAIGHT LINE

362323 A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\,cm\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

1 \(24\,cm\)
2 \(28\,cm\)
3 \(30\,cm\)
4 \(27\,cm\)
PHXI03:MOTION IN A STRAIGHT LINE

362324 The velocity acquired by a body moving with uniform acceleration is \(30\;m{s^{ - 1}}\) in 2 seconds and \(60\;m{s^{ - 1}}\) in four seconds. The initial velocity is

1 \(4\;m{s^{ - 1}}\)
2 \(0\;m{s^{ - 1}}\)
3 \(2\;m{s^{ - 1}}\)
4 \(10\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362325 A small block slides without friction down an inclined plane starting from rest. Let \({S_n}\) be the distance travelled from time \(t = n - 1\,{\rm{to}}\,t = n\). Then \(\frac{{{S_n}}}{{{S_{n + 1}}}}\) is

1 \(\frac{{2n - 1}}{{2n}}\)
2 \(\frac{{2n - 1}}{{2n + 1}}\)
3 \(\frac{{2n}}{{2n + 1}}\)
4 \(\frac{{2n + 1}}{{2n - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362326 A bullet is fired into a fixed target loses one third of its velocity after travelling \(4\;cm\). If penetrates further \(D \times {10^{ - 3}}\;m\) before coming to rest. The value of \(D\) is :

1 33
2 34
3 35
4 32
PHXI03:MOTION IN A STRAIGHT LINE

362327 The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}{\rm{m}}{{\rm{s}}^{{\rm{ - 2}}}}\), in the third second is

1 \(6 \, m\)
2 \(\frac{{10}}{3} \, m\)
3 \(4\, m\)
4 \(\frac{{19}}{3} \, m\)
PHXI03:MOTION IN A STRAIGHT LINE

362323 A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\,cm\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

1 \(24\,cm\)
2 \(28\,cm\)
3 \(30\,cm\)
4 \(27\,cm\)
PHXI03:MOTION IN A STRAIGHT LINE

362324 The velocity acquired by a body moving with uniform acceleration is \(30\;m{s^{ - 1}}\) in 2 seconds and \(60\;m{s^{ - 1}}\) in four seconds. The initial velocity is

1 \(4\;m{s^{ - 1}}\)
2 \(0\;m{s^{ - 1}}\)
3 \(2\;m{s^{ - 1}}\)
4 \(10\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362325 A small block slides without friction down an inclined plane starting from rest. Let \({S_n}\) be the distance travelled from time \(t = n - 1\,{\rm{to}}\,t = n\). Then \(\frac{{{S_n}}}{{{S_{n + 1}}}}\) is

1 \(\frac{{2n - 1}}{{2n}}\)
2 \(\frac{{2n - 1}}{{2n + 1}}\)
3 \(\frac{{2n}}{{2n + 1}}\)
4 \(\frac{{2n + 1}}{{2n - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362326 A bullet is fired into a fixed target loses one third of its velocity after travelling \(4\;cm\). If penetrates further \(D \times {10^{ - 3}}\;m\) before coming to rest. The value of \(D\) is :

1 33
2 34
3 35
4 32
PHXI03:MOTION IN A STRAIGHT LINE

362327 The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}{\rm{m}}{{\rm{s}}^{{\rm{ - 2}}}}\), in the third second is

1 \(6 \, m\)
2 \(\frac{{10}}{3} \, m\)
3 \(4\, m\)
4 \(\frac{{19}}{3} \, m\)