Question
Write two uses of $v-t$ graph?
✓
Answer
- Slope of $v-t$ graph gives acceleration.
- Area under $v-t$ graph gives displacement.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
For what is the unit of light year?
Proper inflation reduces fuel consumption. Give reason.
Motion in two dimensions, in a plane can be studied by expressing position, velocity and acceleration as vectors in Cartesian co-ordinates $\text{A}=\text{A}_\text{x}\hat{\text{i}}+\text{A}_\text{y}\hat{\text{j}}$ where $\hat{\text{i}}$ and $\hat{\text{j}}$ are unit vector along x and y directions, respectively and $A_x$ and $A_y$ are corresponding components of A Fig. Motion can also be studied by expressing vectors in circular polar co-ordinates as $\text{A}=\text{A}_\text{r}\hat{\text{r}}+\text{A}_\theta\hat{\theta}$ where $\hat{\text{r}}=\frac{\text{r}}{\text{r}}=\cos\theta\hat{\text{i}}+\sin\theta\hat{\text{j}}$ and $\hat{\theta}=-\sin\theta\hat{\text{i}}+\cos\theta\hat{\text{j}}$ are unit vectors along direction in which ‘r’ and ‘$\theta$’ are increasing.
→- Express $\hat{\text{i}}$ and $\hat{\text{j}}$ in terms of $\hat{\text{r}}$ and $\hat{\theta}$.
- Show that both $\hat{\text{r}}$ and $\hat{\theta}$ are unit vectors and are perpendicular to each other.
- Show that $\frac{\text{d}}{\text{dt}}(\hat{\text{r}})=\omega\hat{\theta}$ where $\omega=\frac{\text{d}\theta}{\text{dt}}$ and $\frac{\text{d}}{\text{dt}}(\hat{\text{r}})=-\omega\hat{\text{r}}$
- For a particle moving along a spiral given by $\text{r}=\text{a}\theta\hat{\text{r}}$ , where a = 1 (unit), find dimensions of ‘a’.
- Find velocity and acceleration in polar vector represention for particle moving along spiral described in (d) above.
If the number of gas molecules is doubled, what will be the effect on the value of pressure and kinetic energy?
Draw graph showing the variation of acceleration due to gravity with (a) height above the earth's surface (b) depth below the earth's surface.
Figure (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure (b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in Fig. (b) is stretched by the same force F.
What is the maximum extension of the spring in the two cases?
What is the maximum extension of the spring in the two cases?
Can a body in translatory motion have angular momentum?
If the torricellian tube is tilted by 30° with the vertical how much length of mercury will stand at atmospheric pressure at sea-level?
If $\mathrm{x}=\mathrm{a}+\mathrm{bt}+\mathrm{ct}^2$, where x is in metres andt is second, what is the dimensional formula of c ?
→Electron volt is the unit of which physical quantity?