Question:
The given figure shows the graph of velocity versus time for a particle going along the X-axis. Find
(a) The acceleration
(b) The distance travelled in 0 to 10 s and
(c) The displacement in 0 to $10 \mathrm{~s}$
Solution:
(a) Acceleration=slope of $v-t$ graph
$=\frac{(8-2)}{10}=0.6 \mathrm{~m} / \mathrm{s}^{2}$
(b) Distance travelled = Area under v-t graph
$=\frac{1}{2}(2+8) 10$
$=50 m$
(c) Displacement $=50 \mathrm{~m}$