03. Equation of Motion
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Motion in One Dimensions

141746 A block of mass \(10 \mathrm{~kg}\) is moving horizontally with a speed of \(1.5 \mathrm{~ms}^{-1}\) on a smooth plane. If a constant vertical force \(10 \mathrm{~N}\) acts on it, the displacement of the block from the point of application of the force at the end of \(4 \mathrm{~s}\) is

1 \(5 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
5 \(18 \mathrm{~m}\)
Motion in One Dimensions

141747 A body moving with a uniform acceleration crosses a distance of \(65 \mathrm{~m}\) in the \(5^{\text {th }}\) second and \(105 \mathrm{~m}\) in \(9^{\text {th }}\) second. How far will it go in \(20 \mathrm{~s}\) ?

1 \(2040 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(2400 \mathrm{~m}\)
4 \(2004 \mathrm{~m}\)
Motion in One Dimensions

141748 A particle moving along \(x\)-axis has acceleration \(f\), at time \(t\), given by \(f=f_{0}\left(1-\frac{t}{T}\right)\), where \(f_{0}\) and \(T\) are constants. The particle at \(t=0\) has zero velocity. In the time interval between \(t=0\) and the instant when \(f=0\), the particle's velocity \(\left(v_{\mathbf{x}}\right)\) is

1 \(\mathrm{f}_{0} \mathrm{~T}\)
2 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}^{2}\)
3 \(\mathrm{f}_{0} \mathrm{~T}^{2}\)
4 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}\)
Motion in One Dimensions

141749 The velocity acquired by a body moving with uniform acceleration is \(30 \mathrm{~ms}^{-1}\) in 2 seconds and \(60 \mathrm{~ms}^{-1}\) in four seconds. The initial velocity is

1 \(4 \mathrm{~ms}^{-1}\)
2 \(0 \mathrm{~ms}^{-1}\)
3 \(2 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141746 A block of mass \(10 \mathrm{~kg}\) is moving horizontally with a speed of \(1.5 \mathrm{~ms}^{-1}\) on a smooth plane. If a constant vertical force \(10 \mathrm{~N}\) acts on it, the displacement of the block from the point of application of the force at the end of \(4 \mathrm{~s}\) is

1 \(5 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
5 \(18 \mathrm{~m}\)
Motion in One Dimensions

141747 A body moving with a uniform acceleration crosses a distance of \(65 \mathrm{~m}\) in the \(5^{\text {th }}\) second and \(105 \mathrm{~m}\) in \(9^{\text {th }}\) second. How far will it go in \(20 \mathrm{~s}\) ?

1 \(2040 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(2400 \mathrm{~m}\)
4 \(2004 \mathrm{~m}\)
Motion in One Dimensions

141748 A particle moving along \(x\)-axis has acceleration \(f\), at time \(t\), given by \(f=f_{0}\left(1-\frac{t}{T}\right)\), where \(f_{0}\) and \(T\) are constants. The particle at \(t=0\) has zero velocity. In the time interval between \(t=0\) and the instant when \(f=0\), the particle's velocity \(\left(v_{\mathbf{x}}\right)\) is

1 \(\mathrm{f}_{0} \mathrm{~T}\)
2 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}^{2}\)
3 \(\mathrm{f}_{0} \mathrm{~T}^{2}\)
4 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}\)
Motion in One Dimensions

141749 The velocity acquired by a body moving with uniform acceleration is \(30 \mathrm{~ms}^{-1}\) in 2 seconds and \(60 \mathrm{~ms}^{-1}\) in four seconds. The initial velocity is

1 \(4 \mathrm{~ms}^{-1}\)
2 \(0 \mathrm{~ms}^{-1}\)
3 \(2 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141746 A block of mass \(10 \mathrm{~kg}\) is moving horizontally with a speed of \(1.5 \mathrm{~ms}^{-1}\) on a smooth plane. If a constant vertical force \(10 \mathrm{~N}\) acts on it, the displacement of the block from the point of application of the force at the end of \(4 \mathrm{~s}\) is

1 \(5 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
5 \(18 \mathrm{~m}\)
Motion in One Dimensions

141747 A body moving with a uniform acceleration crosses a distance of \(65 \mathrm{~m}\) in the \(5^{\text {th }}\) second and \(105 \mathrm{~m}\) in \(9^{\text {th }}\) second. How far will it go in \(20 \mathrm{~s}\) ?

1 \(2040 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(2400 \mathrm{~m}\)
4 \(2004 \mathrm{~m}\)
Motion in One Dimensions

141748 A particle moving along \(x\)-axis has acceleration \(f\), at time \(t\), given by \(f=f_{0}\left(1-\frac{t}{T}\right)\), where \(f_{0}\) and \(T\) are constants. The particle at \(t=0\) has zero velocity. In the time interval between \(t=0\) and the instant when \(f=0\), the particle's velocity \(\left(v_{\mathbf{x}}\right)\) is

1 \(\mathrm{f}_{0} \mathrm{~T}\)
2 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}^{2}\)
3 \(\mathrm{f}_{0} \mathrm{~T}^{2}\)
4 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}\)
Motion in One Dimensions

141749 The velocity acquired by a body moving with uniform acceleration is \(30 \mathrm{~ms}^{-1}\) in 2 seconds and \(60 \mathrm{~ms}^{-1}\) in four seconds. The initial velocity is

1 \(4 \mathrm{~ms}^{-1}\)
2 \(0 \mathrm{~ms}^{-1}\)
3 \(2 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141746 A block of mass \(10 \mathrm{~kg}\) is moving horizontally with a speed of \(1.5 \mathrm{~ms}^{-1}\) on a smooth plane. If a constant vertical force \(10 \mathrm{~N}\) acts on it, the displacement of the block from the point of application of the force at the end of \(4 \mathrm{~s}\) is

1 \(5 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
5 \(18 \mathrm{~m}\)
Motion in One Dimensions

141747 A body moving with a uniform acceleration crosses a distance of \(65 \mathrm{~m}\) in the \(5^{\text {th }}\) second and \(105 \mathrm{~m}\) in \(9^{\text {th }}\) second. How far will it go in \(20 \mathrm{~s}\) ?

1 \(2040 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(2400 \mathrm{~m}\)
4 \(2004 \mathrm{~m}\)
Motion in One Dimensions

141748 A particle moving along \(x\)-axis has acceleration \(f\), at time \(t\), given by \(f=f_{0}\left(1-\frac{t}{T}\right)\), where \(f_{0}\) and \(T\) are constants. The particle at \(t=0\) has zero velocity. In the time interval between \(t=0\) and the instant when \(f=0\), the particle's velocity \(\left(v_{\mathbf{x}}\right)\) is

1 \(\mathrm{f}_{0} \mathrm{~T}\)
2 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}^{2}\)
3 \(\mathrm{f}_{0} \mathrm{~T}^{2}\)
4 \(\frac{1}{2} \mathrm{f}_{0} \mathrm{~T}\)
Motion in One Dimensions

141749 The velocity acquired by a body moving with uniform acceleration is \(30 \mathrm{~ms}^{-1}\) in 2 seconds and \(60 \mathrm{~ms}^{-1}\) in four seconds. The initial velocity is

1 \(4 \mathrm{~ms}^{-1}\)
2 \(0 \mathrm{~ms}^{-1}\)
3 \(2 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)