The acceleration of a moving body can be found from:

Question

Accepted Answer

1.  **Definition of Acceleration:** Acceleration is defined as the rate of change of velocity with respect to time ($a = \frac{dv}{dt}$). Geometrically, the derivative represents the slope of the tangent to the curve.
2.  **Velocity-Time Graph Analysis:** On a plot of velocity versus time, the average acceleration is the slope of the straight line connecting two points. The instantaneous acceleration is the slope of the tangent to the $v-t$ curve at that instant .
3.  **Other Options:**
    *   The area under the velocity-time graph represents the displacement .
    *   The slope of the position-time (distance-time) graph represents the velocity ($v = \frac{dx}{dt}$) .

Step-by-Step Solution

Practice All PHYSICS Questions