The given figure shows the graph of x-coordinate of
Question:

The given figure shows the graph of x-coordinate of a particle going along the X-axis as a function of time. Find

(a) The average velocity during 0 to 10s

(b) Instantaneous velocity at 2, 5, 8 and 12s.

Solution:

(a) Velocity=displacement/time

$=\frac{100}{10}=10 \mathrm{~m} / \mathrm{s}$

(b) Instantaneous velocity=slope of v-t graph

At $t=2.5 \mathrm{~s} ;$ slope $=\frac{50-0}{2.5-0}=20 \mathrm{~m} / \mathrm{s}$

At $t=5 \mathrm{~s} ;$ slope $=0 \mathrm{~m} / \mathrm{s}$

At t $=8 \mathrm{~s}$; slope $=\frac{10.7 .5}{0-100}=20 \mathrm{~m} / \mathrm{s}$

At $t=12$ s; slope $=\frac{0-150}{15-10}=-20 \mathrm{~m} / \mathrm{s}$

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