03. Equation of Motion
Motion in One Dimensions

141732 A car accelerates at \(5 \mathrm{~ms}^{-2}\) and then retards to rest at \(3 \mathrm{~ms}^{-2}\) the maximum velocity of the car is \(30 \mathrm{~m} / \mathrm{s}\). The distance covered by the car is

1 \(150 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(300 \mathrm{~m}\)
4 \(360 \mathrm{~m}\)
Motion in One Dimensions

141733 A boy desires to hit a bird on the ground from a point at a horizontal distance of \(100 \mathrm{~m}\). If the gun can impart a velocity of \(500 \mathrm{~m} / \mathrm{s}\) to the bullet, at what height above the bird must he aim his gun in order to hit it \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) ?

1 \(10 \mathrm{~cm}\)
2 \(20 \mathrm{~cm}\)
3 \(50 \mathrm{~cm}\)
4 \(100 \mathrm{~cm}\)
Motion in One Dimensions

141734 A particle moves in \(x-y\) plane with velocity \(\vec{v}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b x} \hat{\mathbf{j}}\) where \(\mathbf{a}, \mathbf{b}\) are constants. Initially the particle was locate at \(x=0\) and \(y=0\). What is the equation of trajectory of the particle?

1 \(a y=b x^{2}\)
2 by \(=a x^{2}\)
3 \(2 a y=b x^{2}\)
4 ay \(=2 b x^{2}\)
Motion in One Dimensions

141735 A particle moves in \(x-y\) plane according to the equations \(x=4 t^{2}+5 t+16\) and \(y=5 t\) where \(x, y\) are in meter and \(t\) is in second. What is the acceleration of the particle?

1 \(8 \mathrm{~ms}^{-2}\)
2 \(12 \mathrm{~ms}^{-2}\)
3 \(14 \mathrm{~ms}^{-2}\)
4 None of the above
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Motion in One Dimensions

141732 A car accelerates at \(5 \mathrm{~ms}^{-2}\) and then retards to rest at \(3 \mathrm{~ms}^{-2}\) the maximum velocity of the car is \(30 \mathrm{~m} / \mathrm{s}\). The distance covered by the car is

1 \(150 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(300 \mathrm{~m}\)
4 \(360 \mathrm{~m}\)
Motion in One Dimensions

141733 A boy desires to hit a bird on the ground from a point at a horizontal distance of \(100 \mathrm{~m}\). If the gun can impart a velocity of \(500 \mathrm{~m} / \mathrm{s}\) to the bullet, at what height above the bird must he aim his gun in order to hit it \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) ?

1 \(10 \mathrm{~cm}\)
2 \(20 \mathrm{~cm}\)
3 \(50 \mathrm{~cm}\)
4 \(100 \mathrm{~cm}\)
Motion in One Dimensions

141734 A particle moves in \(x-y\) plane with velocity \(\vec{v}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b x} \hat{\mathbf{j}}\) where \(\mathbf{a}, \mathbf{b}\) are constants. Initially the particle was locate at \(x=0\) and \(y=0\). What is the equation of trajectory of the particle?

1 \(a y=b x^{2}\)
2 by \(=a x^{2}\)
3 \(2 a y=b x^{2}\)
4 ay \(=2 b x^{2}\)
Motion in One Dimensions

141735 A particle moves in \(x-y\) plane according to the equations \(x=4 t^{2}+5 t+16\) and \(y=5 t\) where \(x, y\) are in meter and \(t\) is in second. What is the acceleration of the particle?

1 \(8 \mathrm{~ms}^{-2}\)
2 \(12 \mathrm{~ms}^{-2}\)
3 \(14 \mathrm{~ms}^{-2}\)
4 None of the above
Motion in One Dimensions

141732 A car accelerates at \(5 \mathrm{~ms}^{-2}\) and then retards to rest at \(3 \mathrm{~ms}^{-2}\) the maximum velocity of the car is \(30 \mathrm{~m} / \mathrm{s}\). The distance covered by the car is

1 \(150 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(300 \mathrm{~m}\)
4 \(360 \mathrm{~m}\)
Motion in One Dimensions

141733 A boy desires to hit a bird on the ground from a point at a horizontal distance of \(100 \mathrm{~m}\). If the gun can impart a velocity of \(500 \mathrm{~m} / \mathrm{s}\) to the bullet, at what height above the bird must he aim his gun in order to hit it \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) ?

1 \(10 \mathrm{~cm}\)
2 \(20 \mathrm{~cm}\)
3 \(50 \mathrm{~cm}\)
4 \(100 \mathrm{~cm}\)
Motion in One Dimensions

141734 A particle moves in \(x-y\) plane with velocity \(\vec{v}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b x} \hat{\mathbf{j}}\) where \(\mathbf{a}, \mathbf{b}\) are constants. Initially the particle was locate at \(x=0\) and \(y=0\). What is the equation of trajectory of the particle?

1 \(a y=b x^{2}\)
2 by \(=a x^{2}\)
3 \(2 a y=b x^{2}\)
4 ay \(=2 b x^{2}\)
Motion in One Dimensions

141735 A particle moves in \(x-y\) plane according to the equations \(x=4 t^{2}+5 t+16\) and \(y=5 t\) where \(x, y\) are in meter and \(t\) is in second. What is the acceleration of the particle?

1 \(8 \mathrm{~ms}^{-2}\)
2 \(12 \mathrm{~ms}^{-2}\)
3 \(14 \mathrm{~ms}^{-2}\)
4 None of the above
Motion in One Dimensions

141732 A car accelerates at \(5 \mathrm{~ms}^{-2}\) and then retards to rest at \(3 \mathrm{~ms}^{-2}\) the maximum velocity of the car is \(30 \mathrm{~m} / \mathrm{s}\). The distance covered by the car is

1 \(150 \mathrm{~m}\)
2 \(240 \mathrm{~m}\)
3 \(300 \mathrm{~m}\)
4 \(360 \mathrm{~m}\)
Motion in One Dimensions

141733 A boy desires to hit a bird on the ground from a point at a horizontal distance of \(100 \mathrm{~m}\). If the gun can impart a velocity of \(500 \mathrm{~m} / \mathrm{s}\) to the bullet, at what height above the bird must he aim his gun in order to hit it \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) ?

1 \(10 \mathrm{~cm}\)
2 \(20 \mathrm{~cm}\)
3 \(50 \mathrm{~cm}\)
4 \(100 \mathrm{~cm}\)
Motion in One Dimensions

141734 A particle moves in \(x-y\) plane with velocity \(\vec{v}=\mathbf{a} \hat{\mathbf{i}}+\mathbf{b x} \hat{\mathbf{j}}\) where \(\mathbf{a}, \mathbf{b}\) are constants. Initially the particle was locate at \(x=0\) and \(y=0\). What is the equation of trajectory of the particle?

1 \(a y=b x^{2}\)
2 by \(=a x^{2}\)
3 \(2 a y=b x^{2}\)
4 ay \(=2 b x^{2}\)
Motion in One Dimensions

141735 A particle moves in \(x-y\) plane according to the equations \(x=4 t^{2}+5 t+16\) and \(y=5 t\) where \(x, y\) are in meter and \(t\) is in second. What is the acceleration of the particle?

1 \(8 \mathrm{~ms}^{-2}\)
2 \(12 \mathrm{~ms}^{-2}\)
3 \(14 \mathrm{~ms}^{-2}\)
4 None of the above