00. Distance and Displacement
Motion in One Dimensions

141398 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2 \mathrm{~ms}^{-1}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3 \mathrm{~ms}^{-1}\) and \(5 \mathrm{~ms}^{-1}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8} \mathrm{~ms}^{-1}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{4}{3} \mathrm{~ms}^{-1}\)
4 \(\frac{16}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141175 A motor car moving with velocity \(7 \mathrm{~m} / \mathrm{s}\) stops in \(10 \mathrm{~m}\) distance when brakes are applied. What is the relation between the resistance force ( \(R\) ) and the weight of \((\mathrm{W})\) the car ? (Take value of \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\))

1 \(\mathrm{R}=\mathrm{w}\)
2 \(\mathrm{R}=-\mathrm{w}\)
3 \(\mathrm{R}=-\frac{\mathrm{W}}{2}\)
4 \(\mathrm{R}=-\frac{\mathrm{W}}{4}\)
Motion in One Dimensions

141155 The displacement of particle is given by
\(x=a_{0}+\frac{a_{1} t}{2}-\frac{a_{2} t^{2}}{3}\)
What is its acceleration?

1 \(\frac{2 \mathrm{a}_{2}}{3}\)
2 \(-\frac{2 a_{2}}{3}\)
3 \(\mathrm{a}_{2}\)
4 zero
Motion in One Dimensions

141158 The ratio of displacement to distance for a moving particle is

1 Always less than one
2 Always greater than one
3 Always one
4 One or less than one
Motion in One Dimensions

141218 A car travels from point \(A\) to point \(B\) at a speed \(40 \mathrm{~km} / \mathrm{h}\). The car then returns from \(B\) to \(A\) at a speed \(60 \mathrm{~km} / \mathrm{h}\). The average speed for the round trip is :

1 \(50 \mathrm{~km} / \mathrm{h}\)
2 \(24 \mathrm{~km} / \mathrm{h}\)
3 \(52 \mathrm{~km} / \mathrm{h}\)
4 \(48 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141398 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2 \mathrm{~ms}^{-1}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3 \mathrm{~ms}^{-1}\) and \(5 \mathrm{~ms}^{-1}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8} \mathrm{~ms}^{-1}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{4}{3} \mathrm{~ms}^{-1}\)
4 \(\frac{16}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141175 A motor car moving with velocity \(7 \mathrm{~m} / \mathrm{s}\) stops in \(10 \mathrm{~m}\) distance when brakes are applied. What is the relation between the resistance force ( \(R\) ) and the weight of \((\mathrm{W})\) the car ? (Take value of \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\))

1 \(\mathrm{R}=\mathrm{w}\)
2 \(\mathrm{R}=-\mathrm{w}\)
3 \(\mathrm{R}=-\frac{\mathrm{W}}{2}\)
4 \(\mathrm{R}=-\frac{\mathrm{W}}{4}\)
Motion in One Dimensions

141155 The displacement of particle is given by
\(x=a_{0}+\frac{a_{1} t}{2}-\frac{a_{2} t^{2}}{3}\)
What is its acceleration?

1 \(\frac{2 \mathrm{a}_{2}}{3}\)
2 \(-\frac{2 a_{2}}{3}\)
3 \(\mathrm{a}_{2}\)
4 zero
Motion in One Dimensions

141158 The ratio of displacement to distance for a moving particle is

1 Always less than one
2 Always greater than one
3 Always one
4 One or less than one
Motion in One Dimensions

141218 A car travels from point \(A\) to point \(B\) at a speed \(40 \mathrm{~km} / \mathrm{h}\). The car then returns from \(B\) to \(A\) at a speed \(60 \mathrm{~km} / \mathrm{h}\). The average speed for the round trip is :

1 \(50 \mathrm{~km} / \mathrm{h}\)
2 \(24 \mathrm{~km} / \mathrm{h}\)
3 \(52 \mathrm{~km} / \mathrm{h}\)
4 \(48 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141398 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2 \mathrm{~ms}^{-1}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3 \mathrm{~ms}^{-1}\) and \(5 \mathrm{~ms}^{-1}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8} \mathrm{~ms}^{-1}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{4}{3} \mathrm{~ms}^{-1}\)
4 \(\frac{16}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141175 A motor car moving with velocity \(7 \mathrm{~m} / \mathrm{s}\) stops in \(10 \mathrm{~m}\) distance when brakes are applied. What is the relation between the resistance force ( \(R\) ) and the weight of \((\mathrm{W})\) the car ? (Take value of \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\))

1 \(\mathrm{R}=\mathrm{w}\)
2 \(\mathrm{R}=-\mathrm{w}\)
3 \(\mathrm{R}=-\frac{\mathrm{W}}{2}\)
4 \(\mathrm{R}=-\frac{\mathrm{W}}{4}\)
Motion in One Dimensions

141155 The displacement of particle is given by
\(x=a_{0}+\frac{a_{1} t}{2}-\frac{a_{2} t^{2}}{3}\)
What is its acceleration?

1 \(\frac{2 \mathrm{a}_{2}}{3}\)
2 \(-\frac{2 a_{2}}{3}\)
3 \(\mathrm{a}_{2}\)
4 zero
Motion in One Dimensions

141158 The ratio of displacement to distance for a moving particle is

1 Always less than one
2 Always greater than one
3 Always one
4 One or less than one
Motion in One Dimensions

141218 A car travels from point \(A\) to point \(B\) at a speed \(40 \mathrm{~km} / \mathrm{h}\). The car then returns from \(B\) to \(A\) at a speed \(60 \mathrm{~km} / \mathrm{h}\). The average speed for the round trip is :

1 \(50 \mathrm{~km} / \mathrm{h}\)
2 \(24 \mathrm{~km} / \mathrm{h}\)
3 \(52 \mathrm{~km} / \mathrm{h}\)
4 \(48 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141398 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2 \mathrm{~ms}^{-1}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3 \mathrm{~ms}^{-1}\) and \(5 \mathrm{~ms}^{-1}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8} \mathrm{~ms}^{-1}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{4}{3} \mathrm{~ms}^{-1}\)
4 \(\frac{16}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141175 A motor car moving with velocity \(7 \mathrm{~m} / \mathrm{s}\) stops in \(10 \mathrm{~m}\) distance when brakes are applied. What is the relation between the resistance force ( \(R\) ) and the weight of \((\mathrm{W})\) the car ? (Take value of \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\))

1 \(\mathrm{R}=\mathrm{w}\)
2 \(\mathrm{R}=-\mathrm{w}\)
3 \(\mathrm{R}=-\frac{\mathrm{W}}{2}\)
4 \(\mathrm{R}=-\frac{\mathrm{W}}{4}\)
Motion in One Dimensions

141155 The displacement of particle is given by
\(x=a_{0}+\frac{a_{1} t}{2}-\frac{a_{2} t^{2}}{3}\)
What is its acceleration?

1 \(\frac{2 \mathrm{a}_{2}}{3}\)
2 \(-\frac{2 a_{2}}{3}\)
3 \(\mathrm{a}_{2}\)
4 zero
Motion in One Dimensions

141158 The ratio of displacement to distance for a moving particle is

1 Always less than one
2 Always greater than one
3 Always one
4 One or less than one
Motion in One Dimensions

141218 A car travels from point \(A\) to point \(B\) at a speed \(40 \mathrm{~km} / \mathrm{h}\). The car then returns from \(B\) to \(A\) at a speed \(60 \mathrm{~km} / \mathrm{h}\). The average speed for the round trip is :

1 \(50 \mathrm{~km} / \mathrm{h}\)
2 \(24 \mathrm{~km} / \mathrm{h}\)
3 \(52 \mathrm{~km} / \mathrm{h}\)
4 \(48 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141398 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2 \mathrm{~ms}^{-1}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3 \mathrm{~ms}^{-1}\) and \(5 \mathrm{~ms}^{-1}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8} \mathrm{~ms}^{-1}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{4}{3} \mathrm{~ms}^{-1}\)
4 \(\frac{16}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141175 A motor car moving with velocity \(7 \mathrm{~m} / \mathrm{s}\) stops in \(10 \mathrm{~m}\) distance when brakes are applied. What is the relation between the resistance force ( \(R\) ) and the weight of \((\mathrm{W})\) the car ? (Take value of \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\))

1 \(\mathrm{R}=\mathrm{w}\)
2 \(\mathrm{R}=-\mathrm{w}\)
3 \(\mathrm{R}=-\frac{\mathrm{W}}{2}\)
4 \(\mathrm{R}=-\frac{\mathrm{W}}{4}\)
Motion in One Dimensions

141155 The displacement of particle is given by
\(x=a_{0}+\frac{a_{1} t}{2}-\frac{a_{2} t^{2}}{3}\)
What is its acceleration?

1 \(\frac{2 \mathrm{a}_{2}}{3}\)
2 \(-\frac{2 a_{2}}{3}\)
3 \(\mathrm{a}_{2}\)
4 zero
Motion in One Dimensions

141158 The ratio of displacement to distance for a moving particle is

1 Always less than one
2 Always greater than one
3 Always one
4 One or less than one
Motion in One Dimensions

141218 A car travels from point \(A\) to point \(B\) at a speed \(40 \mathrm{~km} / \mathrm{h}\). The car then returns from \(B\) to \(A\) at a speed \(60 \mathrm{~km} / \mathrm{h}\). The average speed for the round trip is :

1 \(50 \mathrm{~km} / \mathrm{h}\)
2 \(24 \mathrm{~km} / \mathrm{h}\)
3 \(52 \mathrm{~km} / \mathrm{h}\)
4 \(48 \mathrm{~km} / \mathrm{h}\)