143698 The position vector of a particle moving in a plane is given by \(r=\operatorname{acos} \omega t \hat{i}+b \sin \omega t \hat{j}\) where \(\hat{i}\) and \(\hat{j}\) are the unit vectors along the rectangular axes \(X\) and \(Y ; a, b\), and \(\omega\) are constants and \(t\) is time. The acceleration of the particle is directed along the vector

143699 A particle moves in XY-plane with \(x\) and \(y\) varying with time \(t\) as \(x(t)=5 t, y(t)=5 t(27-\) \(t^{2}\) ). At what time in seconds, the direction of velocity and acceleration will be perpendicular to each other?

143700 A particle starting from the origin \((0,0)\) moves in a straight line in the \((x, y)\) plane. Its coordinates at a later time are \((\sqrt{3}, 3)\). The path of the particle makes with the \(\mathrm{x}\)-axis an angle of

143701 A particle is moving eastward with velocity \(5 \mathrm{~ms}^{-1}\). In 10 s the velocity changes to \(5 \mathrm{~ms}^{-1}\) northwards. The average acceleration in this time is

143698 The position vector of a particle moving in a plane is given by \(r=\operatorname{acos} \omega t \hat{i}+b \sin \omega t \hat{j}\) where \(\hat{i}\) and \(\hat{j}\) are the unit vectors along the rectangular axes \(X\) and \(Y ; a, b\), and \(\omega\) are constants and \(t\) is time. The acceleration of the particle is directed along the vector

143699 A particle moves in XY-plane with \(x\) and \(y\) varying with time \(t\) as \(x(t)=5 t, y(t)=5 t(27-\) \(t^{2}\) ). At what time in seconds, the direction of velocity and acceleration will be perpendicular to each other?

143700 A particle starting from the origin \((0,0)\) moves in a straight line in the \((x, y)\) plane. Its coordinates at a later time are \((\sqrt{3}, 3)\). The path of the particle makes with the \(\mathrm{x}\)-axis an angle of

143701 A particle is moving eastward with velocity \(5 \mathrm{~ms}^{-1}\). In 10 s the velocity changes to \(5 \mathrm{~ms}^{-1}\) northwards. The average acceleration in this time is

143698 The position vector of a particle moving in a plane is given by \(r=\operatorname{acos} \omega t \hat{i}+b \sin \omega t \hat{j}\) where \(\hat{i}\) and \(\hat{j}\) are the unit vectors along the rectangular axes \(X\) and \(Y ; a, b\), and \(\omega\) are constants and \(t\) is time. The acceleration of the particle is directed along the vector

143699 A particle moves in XY-plane with \(x\) and \(y\) varying with time \(t\) as \(x(t)=5 t, y(t)=5 t(27-\) \(t^{2}\) ). At what time in seconds, the direction of velocity and acceleration will be perpendicular to each other?

143700 A particle starting from the origin \((0,0)\) moves in a straight line in the \((x, y)\) plane. Its coordinates at a later time are \((\sqrt{3}, 3)\). The path of the particle makes with the \(\mathrm{x}\)-axis an angle of

143701 A particle is moving eastward with velocity \(5 \mathrm{~ms}^{-1}\). In 10 s the velocity changes to \(5 \mathrm{~ms}^{-1}\) northwards. The average acceleration in this time is

143698 The position vector of a particle moving in a plane is given by \(r=\operatorname{acos} \omega t \hat{i}+b \sin \omega t \hat{j}\) where \(\hat{i}\) and \(\hat{j}\) are the unit vectors along the rectangular axes \(X\) and \(Y ; a, b\), and \(\omega\) are constants and \(t\) is time. The acceleration of the particle is directed along the vector

143699 A particle moves in XY-plane with \(x\) and \(y\) varying with time \(t\) as \(x(t)=5 t, y(t)=5 t(27-\) \(t^{2}\) ). At what time in seconds, the direction of velocity and acceleration will be perpendicular to each other?

143700 A particle starting from the origin \((0,0)\) moves in a straight line in the \((x, y)\) plane. Its coordinates at a later time are \((\sqrt{3}, 3)\). The path of the particle makes with the \(\mathrm{x}\)-axis an angle of

143701 A particle is moving eastward with velocity \(5 \mathrm{~ms}^{-1}\). In 10 s the velocity changes to \(5 \mathrm{~ms}^{-1}\) northwards. The average acceleration in this time is