03. Equation of Motion
Motion in One Dimensions

141709 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 \mathbf{i}\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141710 An object is dropped from a tower \(100 \mathrm{~m}\) high. Another is projected upward with a velocity of \(20 \mathrm{~m} / \mathrm{s}\). The time taken for them to collide is

1 \(1 \mathrm{sec}\)
2 \(5 \mathrm{sec}\)
3 \(2 \mathrm{sec}\)
4 can't be determined
Motion in One Dimensions

141711 Consider that a truck is moving initially with \(54 \mathrm{~km} / \mathrm{h}\). It has stopped by the driver after looking at an obstacle with a deceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). The distance travelled by truck before coming to rest is

1 \(12 \mathrm{~m}\)
2 \(11.25 \mathrm{~m}\)
3 \(11.30 \mathrm{~m}\)
4 \(11.20 \mathrm{~m}\)
Motion in One Dimensions

141712 The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time \(t=0 s\) to \(t=6 s\) is
original image

1 \(50.2 \mathrm{~m}\)
2 \(60.8 \mathrm{~m}\)
3 \(30.6 \mathrm{~m}\)
4 \(40.8 \mathrm{~m}\)
Motion in One Dimensions

141713 The position of an object moving along \(x\)-axis is given as \(\mathbf{x}=\mathbf{a}+\mathbf{b t}^{2}\), where \(\mathbf{a}, \mathbf{b}\) are constants and \(t\) is time in seconds. The object covers a distance of \(16 \mathrm{~m}\) in 2 secs. If the average velocity of the object between \(t=3\) and \(t=5 \mathrm{~s}\) is \(28 \mathrm{~m} / \mathrm{s}\). the values of \(a\) and \(b\) are :

1 \(2 \mathrm{~m} .3 .5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(4 \mathrm{~m} .3 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(6 \mathrm{~m} .2 .5 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0 \mathrm{~m} .4 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141709 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 \mathbf{i}\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141710 An object is dropped from a tower \(100 \mathrm{~m}\) high. Another is projected upward with a velocity of \(20 \mathrm{~m} / \mathrm{s}\). The time taken for them to collide is

1 \(1 \mathrm{sec}\)
2 \(5 \mathrm{sec}\)
3 \(2 \mathrm{sec}\)
4 can't be determined
Motion in One Dimensions

141711 Consider that a truck is moving initially with \(54 \mathrm{~km} / \mathrm{h}\). It has stopped by the driver after looking at an obstacle with a deceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). The distance travelled by truck before coming to rest is

1 \(12 \mathrm{~m}\)
2 \(11.25 \mathrm{~m}\)
3 \(11.30 \mathrm{~m}\)
4 \(11.20 \mathrm{~m}\)
Motion in One Dimensions

141712 The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time \(t=0 s\) to \(t=6 s\) is
original image

1 \(50.2 \mathrm{~m}\)
2 \(60.8 \mathrm{~m}\)
3 \(30.6 \mathrm{~m}\)
4 \(40.8 \mathrm{~m}\)
Motion in One Dimensions

141713 The position of an object moving along \(x\)-axis is given as \(\mathbf{x}=\mathbf{a}+\mathbf{b t}^{2}\), where \(\mathbf{a}, \mathbf{b}\) are constants and \(t\) is time in seconds. The object covers a distance of \(16 \mathrm{~m}\) in 2 secs. If the average velocity of the object between \(t=3\) and \(t=5 \mathrm{~s}\) is \(28 \mathrm{~m} / \mathrm{s}\). the values of \(a\) and \(b\) are :

1 \(2 \mathrm{~m} .3 .5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(4 \mathrm{~m} .3 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(6 \mathrm{~m} .2 .5 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0 \mathrm{~m} .4 \mathrm{~m} / \mathrm{s}^{2}\)
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Motion in One Dimensions

141709 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 \mathbf{i}\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141710 An object is dropped from a tower \(100 \mathrm{~m}\) high. Another is projected upward with a velocity of \(20 \mathrm{~m} / \mathrm{s}\). The time taken for them to collide is

1 \(1 \mathrm{sec}\)
2 \(5 \mathrm{sec}\)
3 \(2 \mathrm{sec}\)
4 can't be determined
Motion in One Dimensions

141711 Consider that a truck is moving initially with \(54 \mathrm{~km} / \mathrm{h}\). It has stopped by the driver after looking at an obstacle with a deceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). The distance travelled by truck before coming to rest is

1 \(12 \mathrm{~m}\)
2 \(11.25 \mathrm{~m}\)
3 \(11.30 \mathrm{~m}\)
4 \(11.20 \mathrm{~m}\)
Motion in One Dimensions

141712 The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time \(t=0 s\) to \(t=6 s\) is
original image

1 \(50.2 \mathrm{~m}\)
2 \(60.8 \mathrm{~m}\)
3 \(30.6 \mathrm{~m}\)
4 \(40.8 \mathrm{~m}\)
Motion in One Dimensions

141713 The position of an object moving along \(x\)-axis is given as \(\mathbf{x}=\mathbf{a}+\mathbf{b t}^{2}\), where \(\mathbf{a}, \mathbf{b}\) are constants and \(t\) is time in seconds. The object covers a distance of \(16 \mathrm{~m}\) in 2 secs. If the average velocity of the object between \(t=3\) and \(t=5 \mathrm{~s}\) is \(28 \mathrm{~m} / \mathrm{s}\). the values of \(a\) and \(b\) are :

1 \(2 \mathrm{~m} .3 .5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(4 \mathrm{~m} .3 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(6 \mathrm{~m} .2 .5 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0 \mathrm{~m} .4 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141709 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 \mathbf{i}\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141710 An object is dropped from a tower \(100 \mathrm{~m}\) high. Another is projected upward with a velocity of \(20 \mathrm{~m} / \mathrm{s}\). The time taken for them to collide is

1 \(1 \mathrm{sec}\)
2 \(5 \mathrm{sec}\)
3 \(2 \mathrm{sec}\)
4 can't be determined
Motion in One Dimensions

141711 Consider that a truck is moving initially with \(54 \mathrm{~km} / \mathrm{h}\). It has stopped by the driver after looking at an obstacle with a deceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). The distance travelled by truck before coming to rest is

1 \(12 \mathrm{~m}\)
2 \(11.25 \mathrm{~m}\)
3 \(11.30 \mathrm{~m}\)
4 \(11.20 \mathrm{~m}\)
Motion in One Dimensions

141712 The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time \(t=0 s\) to \(t=6 s\) is
original image

1 \(50.2 \mathrm{~m}\)
2 \(60.8 \mathrm{~m}\)
3 \(30.6 \mathrm{~m}\)
4 \(40.8 \mathrm{~m}\)
Motion in One Dimensions

141713 The position of an object moving along \(x\)-axis is given as \(\mathbf{x}=\mathbf{a}+\mathbf{b t}^{2}\), where \(\mathbf{a}, \mathbf{b}\) are constants and \(t\) is time in seconds. The object covers a distance of \(16 \mathrm{~m}\) in 2 secs. If the average velocity of the object between \(t=3\) and \(t=5 \mathrm{~s}\) is \(28 \mathrm{~m} / \mathrm{s}\). the values of \(a\) and \(b\) are :

1 \(2 \mathrm{~m} .3 .5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(4 \mathrm{~m} .3 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(6 \mathrm{~m} .2 .5 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0 \mathrm{~m} .4 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141709 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 \mathbf{i}\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141710 An object is dropped from a tower \(100 \mathrm{~m}\) high. Another is projected upward with a velocity of \(20 \mathrm{~m} / \mathrm{s}\). The time taken for them to collide is

1 \(1 \mathrm{sec}\)
2 \(5 \mathrm{sec}\)
3 \(2 \mathrm{sec}\)
4 can't be determined
Motion in One Dimensions

141711 Consider that a truck is moving initially with \(54 \mathrm{~km} / \mathrm{h}\). It has stopped by the driver after looking at an obstacle with a deceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). The distance travelled by truck before coming to rest is

1 \(12 \mathrm{~m}\)
2 \(11.25 \mathrm{~m}\)
3 \(11.30 \mathrm{~m}\)
4 \(11.20 \mathrm{~m}\)
Motion in One Dimensions

141712 The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time \(t=0 s\) to \(t=6 s\) is
original image

1 \(50.2 \mathrm{~m}\)
2 \(60.8 \mathrm{~m}\)
3 \(30.6 \mathrm{~m}\)
4 \(40.8 \mathrm{~m}\)
Motion in One Dimensions

141713 The position of an object moving along \(x\)-axis is given as \(\mathbf{x}=\mathbf{a}+\mathbf{b t}^{2}\), where \(\mathbf{a}, \mathbf{b}\) are constants and \(t\) is time in seconds. The object covers a distance of \(16 \mathrm{~m}\) in 2 secs. If the average velocity of the object between \(t=3\) and \(t=5 \mathrm{~s}\) is \(28 \mathrm{~m} / \mathrm{s}\). the values of \(a\) and \(b\) are :

1 \(2 \mathrm{~m} .3 .5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(4 \mathrm{~m} .3 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(6 \mathrm{~m} .2 .5 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0 \mathrm{~m} .4 \mathrm{~m} / \mathrm{s}^{2}\)