Acceleration

Unspecified year 19 questions

1. What is the rate of change of velocity of an object in uniform motion?
2. What determines the nature of the path followed by the particle?
3. The acceleration of a moving body can be found from
4. Acceleration of a particle changes when
5. The area under acceleration time graph gives
6. Which of the following is the correct expression of instantaneous acceleration?
7. The displacement of a particle is represented by the following equation: $S = 3t^{3} + 7t^{2} + 5t + 8$ where 5 is in meter and t in second. The acceleration of the particle at $t = 15$ is
8. The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is [add image]
9. The distance time graph of a particle at time t makes angles $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the acceleration of the particle?
10. The displacement x of a particle along a straight line at time t is given by: $x = a_{0} + a_{1}t/2 + a_{2}/3 t^{2}$. The acceleration of the particle is
11. The dependence of velocity of a body with time is given by the equation $v = 20 + 0.1t^{2}$. The body is in
12. The deceleration experienced by a moving motorboat after its engine is cut off, is given by $dv/dt = -KV^{3}$ where K is constant. If $V_{0}$ is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time t after the cut-off is
13. The displacement of a particle as a function of time is shown in figure. It indicates that [add image]
14. A particle moves along a straight line OX. At a time t (in second) the distance x (in metre) of the particle from O is given by $x = 40 + 12t - t^{3}$. How long would the particle travel before coming to rest?
15. A particle moves a distance x in time t according to equation $x = (t + 5)^{-1}$. The acceleration of particle is proportional to
16. A particle is moving eastwards with a velocity of $5 ms^{-1}$. In 10 seconds the velocity changes to $5 ms^{-1}$ northwards. The average acceleration in this time is
17. It is given that $t = px^{2} + qx$, where x is displacement and t is time. The acceleration of particle at origin is
18. An object, moving with a speed of $6.25 m/s$, is decelerated at a rate given by: $dv/dt = -2.5\sqrt{v}$ where v is the instantaneous speed. The time taken by the object, to come to rest, would be
19. The position of a particle along the x-axis at certain times is given below. Which of the following describes the motion correctly? t(s) 0 1 2 3 x(m) -2 0 6 16