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 |
Each of the three graphs represents acceleration versus time for an object that already has a positive velocity at time $t_1$. Which graphs show an object whose speed is increasing for the entire time interval between $t_1$ and $t_2$ ?
The area under acceleration-time graph gives
An object with a mass $10 \,kg$ moves at a constant velocity of $10 \,m/sec$. A constant force then acts for $4\, second$ on the object and gives it a speed of $2\, m/sec$ in opposite direction. The acceleration produced in it, is ........ $m/{\sec ^2}$