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?
- A
$\sqrt{3}-1$
- B
$\sqrt{3}+1$
- C
$\sqrt{3}$
- D
$1$
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The displacement of a particle is given by $y = a + bt + c{t^2} - d{t^4}$. The initial velocity and acceleration are respectively
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Match the following columns.
Colum $I$
Colum $II$
$(A)$ $\frac{dv}{dt}$
$(p)$ Acceleration
$(B)$ $\frac{d|v|}{dt}$
$(q)$ Magnitude of acceleration
$(C)$ $\frac{dr}{dt}$
$(r)$ Velocity
$(D)$ $\left|\frac{d r }{d t}\right|$
$(s)$ Magnitude of velocity
| Colum $I$ | Colum $II$ |
| $(A)$ $\frac{dv}{dt}$ | $(p)$ Acceleration |
| $(B)$ $\frac{d|v|}{dt}$ | $(q)$ Magnitude of acceleration |
| $(C)$ $\frac{dr}{dt}$ | $(r)$ Velocity |
| $(D)$ $\left|\frac{d r }{d t}\right|$ | $(s)$ Magnitude of velocity |
When acceleration and average acceleration are equal for moving object ?
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A person sitting in a moving train with his face towards the engine, throws a coin vertically upwards. The coin falls ahead of person. The train:
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