The position vector of particle changes with time according to the relation \( \mathbf{r}(t)=15 ...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=z_I2hp340Z4



Duration: 4:02
23 views
1


The position vector of particle changes with time according to the relation \( \mathbf{r}(t)=15 t^{2} \hat{\mathbf{i}}+\left(4-20 t^{2}\right) \hat{\mathbf{j}} \).
What is the magnitude of the acceleration (in \( \mathrm{ms}^{-2} \) ) at \( t=1 \) ?
(a) 50
(b) 100
(c) 25
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-11-07A ball is projected with velocity \( 10 \mathrm{~ms}^{-1} \) in a direction making an angle \( 3...
2022-11-07Rain is falling vertically with a speed of \( 35 \mathrm{~ms}^{-1} \). A woman rides a bicycle w...
2022-11-07The motion of an object that is in flight after being projected is a result of two simultaneousl...
2022-11-07At the top most point of the trajectory for an object that has been projected at an angle \( \th...
2022-11-07When a ball is thrown obliquely from the ground level, then the \( x \)-component of the velocit...
2022-11-07A car driver is moving towards a fired rocket with a velocity of \( 8 \hat{\mathbf{i}} \mathrm{m...
2022-11-07A particle starts from origin at \( t=0 \) with a velocity \( 5.0 \hat{\mathbf{i}} \mathrm{ms}^{...
2022-11-07Buses \( A \) and \( B \) are moving in the same direction with velocities \( 20 \hat{\mathbf{i}...
2022-11-07In three dimensional system, the position coordinates of a particle (in motion) are given below ...
2022-11-07If two objects \( P \) and \( Q \) move along parallel straight lines in opposite direction with...
2022-11-07The position vector of particle changes with time according to the relation \( \mathbf{r}(t)=15 ...
2022-11-07The position vector of particle changes with time according to the relation \( \mathbf{r}(t)=15 ...
2022-11-07The direction of instantaneous velocity is shown by (a) (b) (c) (d) None of these
2022-11-07The \( x \) and \( y \)-coordinates of the particle at any time are \( x=5 t-2 t^{2} \) and \( y...
2022-11-07The position of a particle is given by \( \mathbf{r}=3 t \hat{\mathbf{i}}+2 t^{2} \hat{\mathbf{j...
2022-11-07Two vectors \( \mathbf{A} \) and \( \mathbf{B} \) have equal magnitudes. The magnitude of \( (\m...
2022-11-07Position vector \( \mathbf{r} \) of a particle \( P \) located in a plane with reference to the ...
2022-11-07Rain is falling vertically with a speed of \( 35 \mathrm{~ms}^{-1} \). Winds starts blowing afte...
2022-11-07A particle is moving such that its position coordinates \( (x, y) \) are \( (2 m, 3 m) \) at \( ...
2022-11-07It is found that \( |\mathbf{A}+\mathbf{B}|=|\mathbf{A}| \). This necessarily implies (a) \( |\m...
2022-11-07Suppose a particle moves along a curve shown by the thick line and the positions of particle are...



Tags:
pw