Instantaneous Velocity and Instantaneous Speed
PHXI03:MOTION IN A STRAIGHT LINE

362284 A particle moves along a straight line \(OX\).At a time \(t\) (in seconds) the distance \(x\) (in metres) of the particle from \(O\) is given by \(x=20+14 t-t^{3}\). How long would the particle travel before coming to rest:

1 \((3)^{1 / 2}\)
2 \((5)^{1 / 2}\)
3 \((8)^{1 / 2}\)
4 \((18)^{1 / 2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362285 Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line.
supporting img

1 \(10\,m/s\)
2 \(20\,m/s\)
3 \(15\,m/s\)
4 \(5\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362286 The displacement-time graph for two particles \(A\) and \(B\) are straight lines inclined at angles of \(30^\circ \) and \(60^\circ \) with the time axis. The ratio of vilocities of \({v_A}:{v_B}\) is

1 \(1:3\)
2 \(1:2\)
3 \(\sqrt 3 :1\)
4 \(1:\sqrt 3 \)
PHXI03:MOTION IN A STRAIGHT LINE

362287 A particle moves a straight line \(OX\). At a time \(t\) (in seconds) the distance (in metres) of the particle from \(O\) is given by \(x = 40 + 12t - {t^3}.\) How long would the particle travel before coming to rest?

1 \(24\,m\)
2 \(16\,m\)
3 \(40\,m\)
4 \(56\,m\)
PHXI03:MOTION IN A STRAIGHT LINE

362288 The position \({(x)}\) and time \({(t)}\) of a particle in one-dimensional motion vary, as shown in the following figure. How many times the particle changes its direction?
supporting img

1 9
2 6
3 4
4 3
PHXI03:MOTION IN A STRAIGHT LINE

362284 A particle moves along a straight line \(OX\).At a time \(t\) (in seconds) the distance \(x\) (in metres) of the particle from \(O\) is given by \(x=20+14 t-t^{3}\). How long would the particle travel before coming to rest:

1 \((3)^{1 / 2}\)
2 \((5)^{1 / 2}\)
3 \((8)^{1 / 2}\)
4 \((18)^{1 / 2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362285 Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line.
supporting img

1 \(10\,m/s\)
2 \(20\,m/s\)
3 \(15\,m/s\)
4 \(5\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362286 The displacement-time graph for two particles \(A\) and \(B\) are straight lines inclined at angles of \(30^\circ \) and \(60^\circ \) with the time axis. The ratio of vilocities of \({v_A}:{v_B}\) is

1 \(1:3\)
2 \(1:2\)
3 \(\sqrt 3 :1\)
4 \(1:\sqrt 3 \)
PHXI03:MOTION IN A STRAIGHT LINE

362287 A particle moves a straight line \(OX\). At a time \(t\) (in seconds) the distance (in metres) of the particle from \(O\) is given by \(x = 40 + 12t - {t^3}.\) How long would the particle travel before coming to rest?

1 \(24\,m\)
2 \(16\,m\)
3 \(40\,m\)
4 \(56\,m\)
PHXI03:MOTION IN A STRAIGHT LINE

362288 The position \({(x)}\) and time \({(t)}\) of a particle in one-dimensional motion vary, as shown in the following figure. How many times the particle changes its direction?
supporting img

1 9
2 6
3 4
4 3
PHXI03:MOTION IN A STRAIGHT LINE

362284 A particle moves along a straight line \(OX\).At a time \(t\) (in seconds) the distance \(x\) (in metres) of the particle from \(O\) is given by \(x=20+14 t-t^{3}\). How long would the particle travel before coming to rest:

1 \((3)^{1 / 2}\)
2 \((5)^{1 / 2}\)
3 \((8)^{1 / 2}\)
4 \((18)^{1 / 2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362285 Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line.
supporting img

1 \(10\,m/s\)
2 \(20\,m/s\)
3 \(15\,m/s\)
4 \(5\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362286 The displacement-time graph for two particles \(A\) and \(B\) are straight lines inclined at angles of \(30^\circ \) and \(60^\circ \) with the time axis. The ratio of vilocities of \({v_A}:{v_B}\) is

1 \(1:3\)
2 \(1:2\)
3 \(\sqrt 3 :1\)
4 \(1:\sqrt 3 \)
PHXI03:MOTION IN A STRAIGHT LINE

362287 A particle moves a straight line \(OX\). At a time \(t\) (in seconds) the distance (in metres) of the particle from \(O\) is given by \(x = 40 + 12t - {t^3}.\) How long would the particle travel before coming to rest?

1 \(24\,m\)
2 \(16\,m\)
3 \(40\,m\)
4 \(56\,m\)
PHXI03:MOTION IN A STRAIGHT LINE

362288 The position \({(x)}\) and time \({(t)}\) of a particle in one-dimensional motion vary, as shown in the following figure. How many times the particle changes its direction?
supporting img

1 9
2 6
3 4
4 3
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PHXI03:MOTION IN A STRAIGHT LINE

362284 A particle moves along a straight line \(OX\).At a time \(t\) (in seconds) the distance \(x\) (in metres) of the particle from \(O\) is given by \(x=20+14 t-t^{3}\). How long would the particle travel before coming to rest:

1 \((3)^{1 / 2}\)
2 \((5)^{1 / 2}\)
3 \((8)^{1 / 2}\)
4 \((18)^{1 / 2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362285 Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line.
supporting img

1 \(10\,m/s\)
2 \(20\,m/s\)
3 \(15\,m/s\)
4 \(5\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362286 The displacement-time graph for two particles \(A\) and \(B\) are straight lines inclined at angles of \(30^\circ \) and \(60^\circ \) with the time axis. The ratio of vilocities of \({v_A}:{v_B}\) is

1 \(1:3\)
2 \(1:2\)
3 \(\sqrt 3 :1\)
4 \(1:\sqrt 3 \)
PHXI03:MOTION IN A STRAIGHT LINE

362287 A particle moves a straight line \(OX\). At a time \(t\) (in seconds) the distance (in metres) of the particle from \(O\) is given by \(x = 40 + 12t - {t^3}.\) How long would the particle travel before coming to rest?

1 \(24\,m\)
2 \(16\,m\)
3 \(40\,m\)
4 \(56\,m\)
PHXI03:MOTION IN A STRAIGHT LINE

362288 The position \({(x)}\) and time \({(t)}\) of a particle in one-dimensional motion vary, as shown in the following figure. How many times the particle changes its direction?
supporting img

1 9
2 6
3 4
4 3
PHXI03:MOTION IN A STRAIGHT LINE

362284 A particle moves along a straight line \(OX\).At a time \(t\) (in seconds) the distance \(x\) (in metres) of the particle from \(O\) is given by \(x=20+14 t-t^{3}\). How long would the particle travel before coming to rest:

1 \((3)^{1 / 2}\)
2 \((5)^{1 / 2}\)
3 \((8)^{1 / 2}\)
4 \((18)^{1 / 2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362285 Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line.
supporting img

1 \(10\,m/s\)
2 \(20\,m/s\)
3 \(15\,m/s\)
4 \(5\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362286 The displacement-time graph for two particles \(A\) and \(B\) are straight lines inclined at angles of \(30^\circ \) and \(60^\circ \) with the time axis. The ratio of vilocities of \({v_A}:{v_B}\) is

1 \(1:3\)
2 \(1:2\)
3 \(\sqrt 3 :1\)
4 \(1:\sqrt 3 \)
PHXI03:MOTION IN A STRAIGHT LINE

362287 A particle moves a straight line \(OX\). At a time \(t\) (in seconds) the distance (in metres) of the particle from \(O\) is given by \(x = 40 + 12t - {t^3}.\) How long would the particle travel before coming to rest?

1 \(24\,m\)
2 \(16\,m\)
3 \(40\,m\)
4 \(56\,m\)
PHXI03:MOTION IN A STRAIGHT LINE

362288 The position \({(x)}\) and time \({(t)}\) of a particle in one-dimensional motion vary, as shown in the following figure. How many times the particle changes its direction?
supporting img

1 9
2 6
3 4
4 3