Motion in a Straight Line

Topics in this chapter

• Constant-Acceleration Motion
• Motion Under Gravity
• Relative Motion and Average Speed
• Motion Graphs and Interpretation
• Calculus-Based Kinematics

Cheat sheet

Practice questions

1. Question 1Q-2F94F6

   The position of a particle moving along the x-axis is given by $x = 3t^2 - 2t^3$, where $x$ is in meters and $t$ is in seconds. The time at which the particle achieves zero acceleration is:

   1. A.0.5 s
   2. B.1.0 s
   3. C.1.5 s
   4. D.2.0 s
   See the answer and solution
2. Question 2Q-5DF314

   A car travels the first half of a total distance with a speed of $20\text{ m/s}$ and the second half with a speed of $30\text{ m/s}$. The average speed of the car for the entire journey is:

   1. A.24 m/s
   2. B.25 m/s
   3. C.26 m/s
   4. D.22 m/s
   See the answer and solution
3. Question 3Q-7E2A14

   A body is dropped from a height $H$ above the ground. If it takes $T$ seconds to reach the ground, its position after time $T/2$ from the start is:

   1. A.H/4 above the ground
   2. B.3H/4 above the ground
   3. C.H/2 above the ground
   4. D.H/8 above the ground
   See the answer and solution
4. Question 4Q-2CC127

   The velocity-time graph of a particle moving along a straight line is a straight line inclined at an angle of $45^\circ$ to the time axis. The displacement of the particle in the first $4\text{ seconds}$ is:

   1. A.4 m
   2. B.8 m
   3. C.16 m
   4. D.2 m
   See the answer and solution
5. Question 5Q-CC8F1A

   A particle moves along a straight line such that its displacement $x$ varies with time $t$ as $x = \sqrt{t} + 1$. The acceleration of the particle is proportional to:

   1. A.v
   2. B.v^2
   3. C.v^3
   4. D.1/v
   See the answer and solution