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Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

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Ten questions. The result tells you which lessons you may skip.

1

Priya walks towards the front of a train at \(1\,\text{m/s}\) relative to the train. The train moves at \(15\,\text{m/s}\). The velocity of Priya relative to the platform is

2

At one instant \(x_A = 3\,\text{m}\) and \(x_B = 10\,\text{m}\). The position of A relative to B is

3

Car A moves at \(+20\,\text{m/s}\) and car B at \(-10\,\text{m/s}\) on a straight road. The velocity of B relative to A is

4

A train moves at \(+12\,\text{m/s}\). In the frame of the train, a tree beside the track moves at

5

Two cars move in the same direction with equal accelerations but different velocities. Their relative velocity

6

A car at \(30\,\text{m/s}\) is \(100\,\text{m}\) behind a bus at \(20\,\text{m/s}\) in the same lane. The car reaches the bus after

7

Two trains \(300\,\text{km}\) apart move towards each other at \(60\,\text{km/h}\) and \(90\,\text{km/h}\). They meet after

8

A train \(250\,\text{m}\) long at \(25\,\text{m/s}\) crosses a bridge \(500\,\text{m}\) long completely in

9

Two trains, \(100\,\text{m}\) and \(150\,\text{m}\) long, move in the same direction at \(20\,\text{m/s}\) and \(15\,\text{m/s}\). The faster one passes the slower one in

10

A stone is dropped from a tower \(60\,\text{m}\) high. At the same instant another is thrown up from its foot at \(30\,\text{m/s}\). Air resistance is neglected. They meet after