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

362280 The distance covered by an object (in metre) in given by \(s=8 t^{3}-7 t^{2}+5 t\), find its speed at \(t=2 \mathrm{sec}\).

1 \(76\;m{s^{ - 1}}\)
2 \(72\;m{s^{ - 1}}\)
3 \(86\;m{s^{ - 1}}\)
4 \(82\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362281 Statement A :
The position - time graph of a body moving uniformly in a straight line is parallel to position axis.
Statement B :
The position - time graph in a non - uniform motion gives constant velocity at all instants of time.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362282 Velocity is given by \(v=4 t(1-2 t)\), then find the value of time at which velocity is maximum.

1 \(0.25\;s\)
2 \(1\;s\)
3 \(0.45\;s\)
4 \(4\;s\)
PHXI03:MOTION IN A STRAIGHT LINE

362283 The displacement \({x}\) of a body in motion is given by \({x=a \sin (\omega t+\theta)}\). The time at which the displacement is maximum is

1 \({\dfrac{\theta}{\omega}}\)
2 \({\left(\dfrac{\pi}{2 \omega}-\dfrac{\theta}{\omega}\right)}\)
3 \({\left(\dfrac{\pi}{2 \omega}\right)}\)
4 \({\left(\dfrac{2 \pi}{\omega}-\dfrac{\theta}{\omega}\right)}\)
PHXI03:MOTION IN A STRAIGHT LINE

362280 The distance covered by an object (in metre) in given by \(s=8 t^{3}-7 t^{2}+5 t\), find its speed at \(t=2 \mathrm{sec}\).

1 \(76\;m{s^{ - 1}}\)
2 \(72\;m{s^{ - 1}}\)
3 \(86\;m{s^{ - 1}}\)
4 \(82\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362281 Statement A :
The position - time graph of a body moving uniformly in a straight line is parallel to position axis.
Statement B :
The position - time graph in a non - uniform motion gives constant velocity at all instants of time.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362282 Velocity is given by \(v=4 t(1-2 t)\), then find the value of time at which velocity is maximum.

1 \(0.25\;s\)
2 \(1\;s\)
3 \(0.45\;s\)
4 \(4\;s\)
PHXI03:MOTION IN A STRAIGHT LINE

362283 The displacement \({x}\) of a body in motion is given by \({x=a \sin (\omega t+\theta)}\). The time at which the displacement is maximum is

1 \({\dfrac{\theta}{\omega}}\)
2 \({\left(\dfrac{\pi}{2 \omega}-\dfrac{\theta}{\omega}\right)}\)
3 \({\left(\dfrac{\pi}{2 \omega}\right)}\)
4 \({\left(\dfrac{2 \pi}{\omega}-\dfrac{\theta}{\omega}\right)}\)
PHXI03:MOTION IN A STRAIGHT LINE

362280 The distance covered by an object (in metre) in given by \(s=8 t^{3}-7 t^{2}+5 t\), find its speed at \(t=2 \mathrm{sec}\).

1 \(76\;m{s^{ - 1}}\)
2 \(72\;m{s^{ - 1}}\)
3 \(86\;m{s^{ - 1}}\)
4 \(82\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362281 Statement A :
The position - time graph of a body moving uniformly in a straight line is parallel to position axis.
Statement B :
The position - time graph in a non - uniform motion gives constant velocity at all instants of time.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362282 Velocity is given by \(v=4 t(1-2 t)\), then find the value of time at which velocity is maximum.

1 \(0.25\;s\)
2 \(1\;s\)
3 \(0.45\;s\)
4 \(4\;s\)
PHXI03:MOTION IN A STRAIGHT LINE

362283 The displacement \({x}\) of a body in motion is given by \({x=a \sin (\omega t+\theta)}\). The time at which the displacement is maximum is

1 \({\dfrac{\theta}{\omega}}\)
2 \({\left(\dfrac{\pi}{2 \omega}-\dfrac{\theta}{\omega}\right)}\)
3 \({\left(\dfrac{\pi}{2 \omega}\right)}\)
4 \({\left(\dfrac{2 \pi}{\omega}-\dfrac{\theta}{\omega}\right)}\)
PHXI03:MOTION IN A STRAIGHT LINE

362280 The distance covered by an object (in metre) in given by \(s=8 t^{3}-7 t^{2}+5 t\), find its speed at \(t=2 \mathrm{sec}\).

1 \(76\;m{s^{ - 1}}\)
2 \(72\;m{s^{ - 1}}\)
3 \(86\;m{s^{ - 1}}\)
4 \(82\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362281 Statement A :
The position - time graph of a body moving uniformly in a straight line is parallel to position axis.
Statement B :
The position - time graph in a non - uniform motion gives constant velocity at all instants of time.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362282 Velocity is given by \(v=4 t(1-2 t)\), then find the value of time at which velocity is maximum.

1 \(0.25\;s\)
2 \(1\;s\)
3 \(0.45\;s\)
4 \(4\;s\)
PHXI03:MOTION IN A STRAIGHT LINE

362283 The displacement \({x}\) of a body in motion is given by \({x=a \sin (\omega t+\theta)}\). The time at which the displacement is maximum is

1 \({\dfrac{\theta}{\omega}}\)
2 \({\left(\dfrac{\pi}{2 \omega}-\dfrac{\theta}{\omega}\right)}\)
3 \({\left(\dfrac{\pi}{2 \omega}\right)}\)
4 \({\left(\dfrac{2 \pi}{\omega}-\dfrac{\theta}{\omega}\right)}\)
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