doPhysics.in
All chapters
Graphical Understanding of Motion · Already know this?

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.

Already know this?

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

1

The figure shows the x-t graphs of two cyclists, P and Q, on the same straight road. Which statement is correct?

Two position-time linesTwo straight position-time lines. Line P starts at the origin and reaches 30 metres at 6 seconds. Line Q starts at 10 metres and reaches 22 metres at 6 seconds.123456102030Ot (s)x (m) P Q
2

The figure shows the x-t graph of a body. What is the sign of its acceleration?

A curved position-time graphA position-time graph that rises steeply at first and bends over, becoming less steep, from 0 metres at 0 seconds to 16 metres at 4 seconds.1234481216Ot (s)x (m)
3

The x-t graph of a car on a straight, flat road rises, becomes flat at the top and falls again. What did the car do?

4

The figure shows the v-t graph of a scooter. What is its displacement in the \(8\,\text{s}\) shown?

A velocity-time trapeziumA velocity-time graph that rises from 0 to 10 metres per second in the first 2 seconds, stays at 10 until 6 seconds, and falls to 0 at 8 seconds.12345678510Ot (s)v (m/s)
5

The figure shows the v-t graph of a particle. What is its displacement from \(t = 0\) to \(t = 4\,\text{s}\)?

A velocity-time line that crosses the axisA straight velocity-time line from plus 10 metres per second at 0 seconds to minus 10 metres per second at 4 seconds, crossing the time axis at 2 seconds.1234510−5−10Ot (s)v (m/s)
6

The figure shows the a-t graph of a body whose velocity at \(t = 0\) is \(2\,\text{m/s}\). What is its velocity at \(t = 6\,\text{s}\)?

An acceleration-time stepAn acceleration-time graph at 3 metres per second squared from 0 to 4 seconds, then at zero from 4 to 6 seconds.1234561234Ot (s)a (m/s²)
7

The figure shows the v-t graph of a body. Which x-t graph belongs to the same motion?

A constant negative velocityA velocity-time graph that is a horizontal line at minus 5 metres per second from 0 to 6 seconds.1234565−5Ot (s)v (m/s)
8

At the instant the x-t graph of a body has its highest point, what does its v-t graph do?

9

A ball thrown straight up has a V-shaped speed-time graph. What does the area under this speed-time graph give?

10

A ball is launched with a horizontal velocity of \(12\,\text{m/s}\) and a vertical velocity of \(16\,\text{m/s}\). What is its speed at the top of its path? (Take \(g = 10\,\text{m/s}^2\).)