A particle moves along $x$-axis in such a way that its $x$-co-ordinate varies with time according to the equation $x=4-2 t+t^2$. The speed of the particle will vary with time as
A particle moves along $x$-axis in such a way that its $x$-co-ordinate varies with time according to the equation $x=4-2 t+t^2$. The speed of the particle will vary with time as
- A
- B
- C
- D
Similar Questions
What is reaction time ? On what does the reaction time depend ?
What is reaction time ? On what does the reaction time depend ?
Refer to the graph in figure. Match the following
Graph
Characteristics
$(A)$
$(i)$ has $v > 0$ and $a < 0$ throughout
$(B)$
$(ii)$ has $x > 0,$ throughout and has a point with $v = 0$ and a point with $a = 0$
$(C)$
$(iii)$ has a point with zero displacement for $t > 0$
$(D)$
$(iv)$ has $v < 0$ and $a > 0$
Refer to the graph in figure. Match the following
| Graph | Characteristics |
| $(A)$ | $(i)$ has $v > 0$ and $a < 0$ throughout |
| $(B)$ | $(ii)$ has $x > 0,$ throughout and has a point with $v = 0$ and a point with $a = 0$ |
| $(C)$ | $(iii)$ has a point with zero displacement for $t > 0$ |
| $(D)$ | $(iv)$ has $v < 0$ and $a > 0$ |
The position $x$ of a particle varies with time $t$ as $x = a{t^2} - b{t^3}$. The acceleration of the particle will be zero at time $t$ equal to
- [AIPMT 1997]
Acceleration of a particle changes when
The distance-time graph of a particle at time $t$ makes angle $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the average acceleration of the particle?
The distance-time graph of a particle at time $t$ makes angle $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the average acceleration of the particle?