The position of a particle moving in a straight line is given by \[ x=3 t^{3}-18 t^{2}+36 t \] H...

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=IQ184GVx9s4


Duration: 4:55
2 views
0

The position of a particle moving in a straight line is given by
\[
x=3 t^{3}-18 t^{2}+36 t
\]
Here, \( x \) is in \( m \) and \( t \) in second. Then
(A) direction of velocity and acceleration both change at \( t=2 \mathrm{~s} \)
(B) the distance travelled by particle is equal to magnitude of displacement for \( t=0 \) to \( t=5 \mathrm{~s} \)
(C) the speed of particle is decreasing in \( t=0 \) to \( t=2 \mathrm{~s} \) then it is increasing for \( t2 \)
(D) the magnitudes of velocity and acceleration are equal at \( t=0 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-27If the atmosphere suddenly condensed into a solid mass and formed a thin layer on the surface of...
2022-10-27A disc is first spinned and then placed gently on a rough floor with its surface horizontal. Wil...
2022-10-27A particle is projected at an angle \( =30^{\circ} \) with the horizontal, with a velocity of \(...
2022-10-27From a uniform circular disc a circular hole is cut out touching the rim of the disc at the poin...
2022-10-27A disc rotates with constant angular velocity. Does a point on its rim have a tangential acceler...
2022-10-27A motor boat is to reach at a point \( 30^{\circ} \) upstream on other side of a river flowing w...
2022-10-27A particle has initial velocity \( 10 \mathrm{~m} / \mathrm{s} \). It moves due to constant reta...
2022-10-27Masses of the bodies \( A, B \) and \( C \) are \( 1 \mathrm{~kg}, 2 \mathrm{~kg} \) and \( 3 \m...
2022-10-27What is the maximum offset that one can obtained by piling up three identical bricks of length \...
2022-10-27An object is attracted toward the origin with a force given by \( F=-k / x^{2} \). Calculate the...
2022-10-27The position of a particle moving in a straight line is given by \[ x=3 t^{3}-18 t^{2}+36 t \] H...
2022-10-27In projectile motion power of the gravitational force : (A) Is constant throughout. (B) Is negat...
2022-10-27A boy whose mass is \( 30 \mathrm{~kg} \) climbs, with a constant speed, a vertical rope of \( 6...
2022-10-27A particle of mass \( m \) moves from rest under the action of a constant force \( F \) which ac...
2022-10-27Two lines \( A B \) and \( C D \) intersect at \( O \) at an inclination \( \alpha \), as shown ...
2022-10-27The maximum range of a particle with a certain speed on a horizontal plane is \( R \). Find its ...
2022-10-27Man \( A \) sitting in a car moving with \( 54 \mathrm{~km} / \mathrm{hr} \) observes another \(...
2022-10-27A man is running with a constant acceleration on a plank which is placed on a horizontal smooth ...
2022-10-27Choose the correct statement(s) : (A) We can have a motion having zero displacement and nonzero ...
2022-10-27Figure shows some velocity versus time graphs : Only some of these can be realised in practice. ...
2022-10-27A particle is moving along the path given by \( y=\frac{C}{6} t^{6} \) (where \( C \) is a posit...


Tags:
pw