01. Speed, Velocity and Acceleration
Motion in One Dimensions

141399 A body starts from rest with an acceleration \(a_{1}\). After two seconds another body \(B\) starts from rest with an acceleration \(a_{2}\). If they travel equal distances in fifth second after the starts of \(A\), the ratio \(a_{1}: a_{2}\) will be equal to:

1 \(9: 5\)
2 \(5: 7\)
3 \(5: 9\)
4 \(7: 9\)
Motion in One Dimensions

141400 A man drives a car from station \(B\) towards station \(A\) at speed \(60 \mathrm{~km} / \mathrm{h}\). A car leaves station A for station \(B\) every \(10 \mathrm{~min}\). The distance between \(A\) and \(B\) is \(60 \mathrm{~km}\). The car travels at the speed of \(60 \mathrm{~km} / \mathrm{h}\). A man drives a car from \(B\) towards \(A\) at speed of \(60 \mathrm{~km} / \mathrm{h}\). If the starts at the moment when first car leaves the station \(B\), then how many cars would be meet on the route?

1 4
2 7
3 9
4 12
Motion in One Dimensions

141401 The following plot gives the variation of acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\) with time (s) for an object that started from rest at time \(t=0\) s. The velocity at time \(t=15 \mathrm{~s}\left(\mathrm{~V}_{15}\right)\) and at \(25 \mathrm{~s}\left(\mathrm{~V}_{25}\right)\), respectively are
original image

1 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=0 \mathrm{~m} / \mathrm{s}\)
2 \(V_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(V_{25}=150 \mathrm{~m} / \mathrm{s}\)
3 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
4 \(\mathrm{V}_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
5 \(\mathrm{V}_{15}=75 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=50 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141406 A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time \(10 \mathrm{~s}\). The initial speed of the car is-

1 \(25 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(75 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
Motion in One Dimensions

141407 A particle moves along a straight line along the \(\mathrm{X}\)-axis. Its position \((\mathrm{X})\) versus time \((\mathrm{t})\) graph is shown in the figure [ \(x\) in meters and \(t\) in seconds]. It's average speed during this motion is
original image

1 \(0.4 \mathrm{~ms}^{-}\)
2 \(1.0 \mathrm{~ms}^{-1}\)
3 \(0.8 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141399 A body starts from rest with an acceleration \(a_{1}\). After two seconds another body \(B\) starts from rest with an acceleration \(a_{2}\). If they travel equal distances in fifth second after the starts of \(A\), the ratio \(a_{1}: a_{2}\) will be equal to:

1 \(9: 5\)
2 \(5: 7\)
3 \(5: 9\)
4 \(7: 9\)
Motion in One Dimensions

141400 A man drives a car from station \(B\) towards station \(A\) at speed \(60 \mathrm{~km} / \mathrm{h}\). A car leaves station A for station \(B\) every \(10 \mathrm{~min}\). The distance between \(A\) and \(B\) is \(60 \mathrm{~km}\). The car travels at the speed of \(60 \mathrm{~km} / \mathrm{h}\). A man drives a car from \(B\) towards \(A\) at speed of \(60 \mathrm{~km} / \mathrm{h}\). If the starts at the moment when first car leaves the station \(B\), then how many cars would be meet on the route?

1 4
2 7
3 9
4 12
Motion in One Dimensions

141401 The following plot gives the variation of acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\) with time (s) for an object that started from rest at time \(t=0\) s. The velocity at time \(t=15 \mathrm{~s}\left(\mathrm{~V}_{15}\right)\) and at \(25 \mathrm{~s}\left(\mathrm{~V}_{25}\right)\), respectively are
original image

1 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=0 \mathrm{~m} / \mathrm{s}\)
2 \(V_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(V_{25}=150 \mathrm{~m} / \mathrm{s}\)
3 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
4 \(\mathrm{V}_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
5 \(\mathrm{V}_{15}=75 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=50 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141406 A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time \(10 \mathrm{~s}\). The initial speed of the car is-

1 \(25 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(75 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
Motion in One Dimensions

141407 A particle moves along a straight line along the \(\mathrm{X}\)-axis. Its position \((\mathrm{X})\) versus time \((\mathrm{t})\) graph is shown in the figure [ \(x\) in meters and \(t\) in seconds]. It's average speed during this motion is
original image

1 \(0.4 \mathrm{~ms}^{-}\)
2 \(1.0 \mathrm{~ms}^{-1}\)
3 \(0.8 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141399 A body starts from rest with an acceleration \(a_{1}\). After two seconds another body \(B\) starts from rest with an acceleration \(a_{2}\). If they travel equal distances in fifth second after the starts of \(A\), the ratio \(a_{1}: a_{2}\) will be equal to:

1 \(9: 5\)
2 \(5: 7\)
3 \(5: 9\)
4 \(7: 9\)
Motion in One Dimensions

141400 A man drives a car from station \(B\) towards station \(A\) at speed \(60 \mathrm{~km} / \mathrm{h}\). A car leaves station A for station \(B\) every \(10 \mathrm{~min}\). The distance between \(A\) and \(B\) is \(60 \mathrm{~km}\). The car travels at the speed of \(60 \mathrm{~km} / \mathrm{h}\). A man drives a car from \(B\) towards \(A\) at speed of \(60 \mathrm{~km} / \mathrm{h}\). If the starts at the moment when first car leaves the station \(B\), then how many cars would be meet on the route?

1 4
2 7
3 9
4 12
Motion in One Dimensions

141401 The following plot gives the variation of acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\) with time (s) for an object that started from rest at time \(t=0\) s. The velocity at time \(t=15 \mathrm{~s}\left(\mathrm{~V}_{15}\right)\) and at \(25 \mathrm{~s}\left(\mathrm{~V}_{25}\right)\), respectively are
original image

1 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=0 \mathrm{~m} / \mathrm{s}\)
2 \(V_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(V_{25}=150 \mathrm{~m} / \mathrm{s}\)
3 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
4 \(\mathrm{V}_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
5 \(\mathrm{V}_{15}=75 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=50 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141406 A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time \(10 \mathrm{~s}\). The initial speed of the car is-

1 \(25 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(75 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
Motion in One Dimensions

141407 A particle moves along a straight line along the \(\mathrm{X}\)-axis. Its position \((\mathrm{X})\) versus time \((\mathrm{t})\) graph is shown in the figure [ \(x\) in meters and \(t\) in seconds]. It's average speed during this motion is
original image

1 \(0.4 \mathrm{~ms}^{-}\)
2 \(1.0 \mathrm{~ms}^{-1}\)
3 \(0.8 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141399 A body starts from rest with an acceleration \(a_{1}\). After two seconds another body \(B\) starts from rest with an acceleration \(a_{2}\). If they travel equal distances in fifth second after the starts of \(A\), the ratio \(a_{1}: a_{2}\) will be equal to:

1 \(9: 5\)
2 \(5: 7\)
3 \(5: 9\)
4 \(7: 9\)
Motion in One Dimensions

141400 A man drives a car from station \(B\) towards station \(A\) at speed \(60 \mathrm{~km} / \mathrm{h}\). A car leaves station A for station \(B\) every \(10 \mathrm{~min}\). The distance between \(A\) and \(B\) is \(60 \mathrm{~km}\). The car travels at the speed of \(60 \mathrm{~km} / \mathrm{h}\). A man drives a car from \(B\) towards \(A\) at speed of \(60 \mathrm{~km} / \mathrm{h}\). If the starts at the moment when first car leaves the station \(B\), then how many cars would be meet on the route?

1 4
2 7
3 9
4 12
Motion in One Dimensions

141401 The following plot gives the variation of acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\) with time (s) for an object that started from rest at time \(t=0\) s. The velocity at time \(t=15 \mathrm{~s}\left(\mathrm{~V}_{15}\right)\) and at \(25 \mathrm{~s}\left(\mathrm{~V}_{25}\right)\), respectively are
original image

1 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=0 \mathrm{~m} / \mathrm{s}\)
2 \(V_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(V_{25}=150 \mathrm{~m} / \mathrm{s}\)
3 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
4 \(\mathrm{V}_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
5 \(\mathrm{V}_{15}=75 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=50 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141406 A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time \(10 \mathrm{~s}\). The initial speed of the car is-

1 \(25 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(75 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
Motion in One Dimensions

141407 A particle moves along a straight line along the \(\mathrm{X}\)-axis. Its position \((\mathrm{X})\) versus time \((\mathrm{t})\) graph is shown in the figure [ \(x\) in meters and \(t\) in seconds]. It's average speed during this motion is
original image

1 \(0.4 \mathrm{~ms}^{-}\)
2 \(1.0 \mathrm{~ms}^{-1}\)
3 \(0.8 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141399 A body starts from rest with an acceleration \(a_{1}\). After two seconds another body \(B\) starts from rest with an acceleration \(a_{2}\). If they travel equal distances in fifth second after the starts of \(A\), the ratio \(a_{1}: a_{2}\) will be equal to:

1 \(9: 5\)
2 \(5: 7\)
3 \(5: 9\)
4 \(7: 9\)
Motion in One Dimensions

141400 A man drives a car from station \(B\) towards station \(A\) at speed \(60 \mathrm{~km} / \mathrm{h}\). A car leaves station A for station \(B\) every \(10 \mathrm{~min}\). The distance between \(A\) and \(B\) is \(60 \mathrm{~km}\). The car travels at the speed of \(60 \mathrm{~km} / \mathrm{h}\). A man drives a car from \(B\) towards \(A\) at speed of \(60 \mathrm{~km} / \mathrm{h}\). If the starts at the moment when first car leaves the station \(B\), then how many cars would be meet on the route?

1 4
2 7
3 9
4 12
Motion in One Dimensions

141401 The following plot gives the variation of acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\) with time (s) for an object that started from rest at time \(t=0\) s. The velocity at time \(t=15 \mathrm{~s}\left(\mathrm{~V}_{15}\right)\) and at \(25 \mathrm{~s}\left(\mathrm{~V}_{25}\right)\), respectively are
original image

1 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=0 \mathrm{~m} / \mathrm{s}\)
2 \(V_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(V_{25}=150 \mathrm{~m} / \mathrm{s}\)
3 \(\mathrm{V}_{15}=50 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
4 \(\mathrm{V}_{15}=100 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=25 \mathrm{~m} / \mathrm{s}\)
5 \(\mathrm{V}_{15}=75 \mathrm{~m} / \mathrm{s}\) and \(\mathrm{V}_{25}=50 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141406 A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time \(10 \mathrm{~s}\). The initial speed of the car is-

1 \(25 \mathrm{~m} \mathrm{~s}^{-1}\)
2 \(50 \mathrm{~m} \mathrm{~s}^{-1}\)
3 \(75 \mathrm{~m} \mathrm{~s}^{-1}\)
4 \(40 \mathrm{~m} \mathrm{~s}^{-1}\)
Motion in One Dimensions

141407 A particle moves along a straight line along the \(\mathrm{X}\)-axis. Its position \((\mathrm{X})\) versus time \((\mathrm{t})\) graph is shown in the figure [ \(x\) in meters and \(t\) in seconds]. It's average speed during this motion is
original image

1 \(0.4 \mathrm{~ms}^{-}\)
2 \(1.0 \mathrm{~ms}^{-1}\)
3 \(0.8 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)