141384 The acceleration of a particle is increasing linearly with time \(t\) as bt. The particle starts from the origin with an initial velocity \(v_{0}\). The distance travelled by the particle in time \(t\) will be

141385 A man is at a height of \(100 \mathrm{~m}\). He sees a car which makes an angle of \(\frac{\pi}{6}\) with man's position. If the car moves to a point where angle is \(\frac{\pi}{3}\), what is the distance moved by it ?

141386 The displacement of a particle moving in a straight line is given by the expression \(x=\mathbf{A t}^{3}+\) \(B t^{2}+C t+D\) in meter, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants.
The ratio between the initial acceleration and initial velocity is

141387 The position - time (x-t) graph for motion of a body is given below :

Which one among the following is depicted by the above graph?

141388 The displacement of a particle at time \(t\) is given by
\(\overrightarrow{\mathbf{x}}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b} \mathbf{t} \hat{\mathbf{j}}+\frac{\mathbf{c}}{\mathbf{2}} \mathbf{t}^{2} \hat{\boldsymbol{k}}\)
Where \(a, b\) and \(c\) are positive constants. Then the particle is

141384 The acceleration of a particle is increasing linearly with time \(t\) as bt. The particle starts from the origin with an initial velocity \(v_{0}\). The distance travelled by the particle in time \(t\) will be

141385 A man is at a height of \(100 \mathrm{~m}\). He sees a car which makes an angle of \(\frac{\pi}{6}\) with man's position. If the car moves to a point where angle is \(\frac{\pi}{3}\), what is the distance moved by it ?

141386 The displacement of a particle moving in a straight line is given by the expression \(x=\mathbf{A t}^{3}+\) \(B t^{2}+C t+D\) in meter, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants.
The ratio between the initial acceleration and initial velocity is

141387 The position - time (x-t) graph for motion of a body is given below :

Which one among the following is depicted by the above graph?

141388 The displacement of a particle at time \(t\) is given by
\(\overrightarrow{\mathbf{x}}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b} \mathbf{t} \hat{\mathbf{j}}+\frac{\mathbf{c}}{\mathbf{2}} \mathbf{t}^{2} \hat{\boldsymbol{k}}\)
Where \(a, b\) and \(c\) are positive constants. Then the particle is

141384 The acceleration of a particle is increasing linearly with time \(t\) as bt. The particle starts from the origin with an initial velocity \(v_{0}\). The distance travelled by the particle in time \(t\) will be

141385 A man is at a height of \(100 \mathrm{~m}\). He sees a car which makes an angle of \(\frac{\pi}{6}\) with man's position. If the car moves to a point where angle is \(\frac{\pi}{3}\), what is the distance moved by it ?

141386 The displacement of a particle moving in a straight line is given by the expression \(x=\mathbf{A t}^{3}+\) \(B t^{2}+C t+D\) in meter, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants.
The ratio between the initial acceleration and initial velocity is

141387 The position - time (x-t) graph for motion of a body is given below :

Which one among the following is depicted by the above graph?

141388 The displacement of a particle at time \(t\) is given by
\(\overrightarrow{\mathbf{x}}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b} \mathbf{t} \hat{\mathbf{j}}+\frac{\mathbf{c}}{\mathbf{2}} \mathbf{t}^{2} \hat{\boldsymbol{k}}\)
Where \(a, b\) and \(c\) are positive constants. Then the particle is

141384 The acceleration of a particle is increasing linearly with time \(t\) as bt. The particle starts from the origin with an initial velocity \(v_{0}\). The distance travelled by the particle in time \(t\) will be

141385 A man is at a height of \(100 \mathrm{~m}\). He sees a car which makes an angle of \(\frac{\pi}{6}\) with man's position. If the car moves to a point where angle is \(\frac{\pi}{3}\), what is the distance moved by it ?

141386 The displacement of a particle moving in a straight line is given by the expression \(x=\mathbf{A t}^{3}+\) \(B t^{2}+C t+D\) in meter, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants.
The ratio between the initial acceleration and initial velocity is

141387 The position - time (x-t) graph for motion of a body is given below :

Which one among the following is depicted by the above graph?

141388 The displacement of a particle at time \(t\) is given by
\(\overrightarrow{\mathbf{x}}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b} \mathbf{t} \hat{\mathbf{j}}+\frac{\mathbf{c}}{\mathbf{2}} \mathbf{t}^{2} \hat{\boldsymbol{k}}\)
Where \(a, b\) and \(c\) are positive constants. Then the particle is

141384 The acceleration of a particle is increasing linearly with time \(t\) as bt. The particle starts from the origin with an initial velocity \(v_{0}\). The distance travelled by the particle in time \(t\) will be

141385 A man is at a height of \(100 \mathrm{~m}\). He sees a car which makes an angle of \(\frac{\pi}{6}\) with man's position. If the car moves to a point where angle is \(\frac{\pi}{3}\), what is the distance moved by it ?

141386 The displacement of a particle moving in a straight line is given by the expression \(x=\mathbf{A t}^{3}+\) \(B t^{2}+C t+D\) in meter, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants.
The ratio between the initial acceleration and initial velocity is

141387 The position - time (x-t) graph for motion of a body is given below :

Which one among the following is depicted by the above graph?

141388 The displacement of a particle at time \(t\) is given by
\(\overrightarrow{\mathbf{x}}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b} \mathbf{t} \hat{\mathbf{j}}+\frac{\mathbf{c}}{\mathbf{2}} \mathbf{t}^{2} \hat{\boldsymbol{k}}\)
Where \(a, b\) and \(c\) are positive constants. Then the particle is