Instantaneous Velocity & Speed

Unspecified year 13 questions

1. The instantaneous velocity of a particle moving in a straight line is given as $v = \alpha t + \beta t^{2}$, where $\alpha$ and $\beta$ are constants. The distance travelled by the particle between 1 s and 2 s is:
2. Two buses P & Q start from a point at the same time and move in a straight line and their positions are represented by $X_{p}(t) = \alpha t + \beta t^{2}$ and $X_{Q}(t) = ft - t^{2}$. At what time, both the buses have same velocity?
3. The fig given shows the time-displacement curve of two particles P and Q. Which of the following statement is correct? [add image]
4. The distance travelled by a body is directly proportional to the time taken. Its speed
5. The slope of velocity-time graph for motion with uniform velocity is equal to
6. The ratio of the numerical values of the average velocity and average speed of a body is
7. The slope of the tangent drawn on position-time graph at any instant is equal to the instantaneous
8. The displacement-time graphs of two particles A and B are straight lines making angles of $30^{\circ}$ and $60^{\circ}$ respectively with the time axis. If the velocity of A is $v_{A}$ and that of B is $v_{B}$, the value of $v_{A}/v_{B}$ is
9. Choose the wrong statement from the following.
10. Which of following graph cannot possibly represent 1D motion of a particle?
11. The total distance travelled by the body in the given time is equal to
12. Choose the correct equation to determine distance in a straight line for a body with uniform motion.
13. The velocity time graph of the motion of the body is as shown below. The total distance travelled by the body during the motion is equal to [add image]