00. Distance and Displacement
Motion in One Dimensions

141337 If the first one-third of a journey is travelled at \(20 \mathrm{~km} / \mathrm{h}\), next one-third at \(40 \mathrm{~km} / \mathrm{h}\) and the last one-third at \(60 \mathrm{~km} / \mathrm{h}\). The average speed of whole journey will be

1 \(32.7 \mathrm{~km} / \mathrm{h}\)
2 \(35 \mathrm{~km} / \mathrm{h}\)
3 \(40 \mathrm{~km} / \mathrm{h}\)
4 \(45 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141339 A car accelerates from rest with \(2 \mathrm{~m} / \mathrm{s}^{2}\) on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is \(100 \mathrm{~m}\) in 20 seconds. Then the maximum velocity attained by the car is

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(15 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141340 A car starts from rest and starts moving on a circular path of radius \(100 \mathrm{~m}\) such that its speed increases at the rate of \(5 \mathrm{~ms}^{-2}\). What is the radial acceleration of the car at the instant it makes one complete round trip (in \(\mathrm{m} \mathrm{s}^{-2}\) )?

1 \(20 \pi\)
2 \(10 \pi\)
3 \(40 \pi\)
4 \(30 \pi\)
Motion in One Dimensions

141341 The position of a particle varies with time \(t\) as \(x\) \(=a t^{2}-b t^{3}\). The acceleration of the particle will be zero at time \(t\) equal to

1 \(\frac{a}{b}\)
2 \(\frac{2 a}{b}\)
3 \(\frac{a}{3 b}\)
4 zero
Motion in One Dimensions

141337 If the first one-third of a journey is travelled at \(20 \mathrm{~km} / \mathrm{h}\), next one-third at \(40 \mathrm{~km} / \mathrm{h}\) and the last one-third at \(60 \mathrm{~km} / \mathrm{h}\). The average speed of whole journey will be

1 \(32.7 \mathrm{~km} / \mathrm{h}\)
2 \(35 \mathrm{~km} / \mathrm{h}\)
3 \(40 \mathrm{~km} / \mathrm{h}\)
4 \(45 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141339 A car accelerates from rest with \(2 \mathrm{~m} / \mathrm{s}^{2}\) on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is \(100 \mathrm{~m}\) in 20 seconds. Then the maximum velocity attained by the car is

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(15 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141340 A car starts from rest and starts moving on a circular path of radius \(100 \mathrm{~m}\) such that its speed increases at the rate of \(5 \mathrm{~ms}^{-2}\). What is the radial acceleration of the car at the instant it makes one complete round trip (in \(\mathrm{m} \mathrm{s}^{-2}\) )?

1 \(20 \pi\)
2 \(10 \pi\)
3 \(40 \pi\)
4 \(30 \pi\)
Motion in One Dimensions

141341 The position of a particle varies with time \(t\) as \(x\) \(=a t^{2}-b t^{3}\). The acceleration of the particle will be zero at time \(t\) equal to

1 \(\frac{a}{b}\)
2 \(\frac{2 a}{b}\)
3 \(\frac{a}{3 b}\)
4 zero
Motion in One Dimensions

141337 If the first one-third of a journey is travelled at \(20 \mathrm{~km} / \mathrm{h}\), next one-third at \(40 \mathrm{~km} / \mathrm{h}\) and the last one-third at \(60 \mathrm{~km} / \mathrm{h}\). The average speed of whole journey will be

1 \(32.7 \mathrm{~km} / \mathrm{h}\)
2 \(35 \mathrm{~km} / \mathrm{h}\)
3 \(40 \mathrm{~km} / \mathrm{h}\)
4 \(45 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141339 A car accelerates from rest with \(2 \mathrm{~m} / \mathrm{s}^{2}\) on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is \(100 \mathrm{~m}\) in 20 seconds. Then the maximum velocity attained by the car is

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(15 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141340 A car starts from rest and starts moving on a circular path of radius \(100 \mathrm{~m}\) such that its speed increases at the rate of \(5 \mathrm{~ms}^{-2}\). What is the radial acceleration of the car at the instant it makes one complete round trip (in \(\mathrm{m} \mathrm{s}^{-2}\) )?

1 \(20 \pi\)
2 \(10 \pi\)
3 \(40 \pi\)
4 \(30 \pi\)
Motion in One Dimensions

141341 The position of a particle varies with time \(t\) as \(x\) \(=a t^{2}-b t^{3}\). The acceleration of the particle will be zero at time \(t\) equal to

1 \(\frac{a}{b}\)
2 \(\frac{2 a}{b}\)
3 \(\frac{a}{3 b}\)
4 zero
Motion in One Dimensions

141337 If the first one-third of a journey is travelled at \(20 \mathrm{~km} / \mathrm{h}\), next one-third at \(40 \mathrm{~km} / \mathrm{h}\) and the last one-third at \(60 \mathrm{~km} / \mathrm{h}\). The average speed of whole journey will be

1 \(32.7 \mathrm{~km} / \mathrm{h}\)
2 \(35 \mathrm{~km} / \mathrm{h}\)
3 \(40 \mathrm{~km} / \mathrm{h}\)
4 \(45 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141339 A car accelerates from rest with \(2 \mathrm{~m} / \mathrm{s}^{2}\) on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is \(100 \mathrm{~m}\) in 20 seconds. Then the maximum velocity attained by the car is

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(15 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141340 A car starts from rest and starts moving on a circular path of radius \(100 \mathrm{~m}\) such that its speed increases at the rate of \(5 \mathrm{~ms}^{-2}\). What is the radial acceleration of the car at the instant it makes one complete round trip (in \(\mathrm{m} \mathrm{s}^{-2}\) )?

1 \(20 \pi\)
2 \(10 \pi\)
3 \(40 \pi\)
4 \(30 \pi\)
Motion in One Dimensions

141341 The position of a particle varies with time \(t\) as \(x\) \(=a t^{2}-b t^{3}\). The acceleration of the particle will be zero at time \(t\) equal to

1 \(\frac{a}{b}\)
2 \(\frac{2 a}{b}\)
3 \(\frac{a}{3 b}\)
4 zero