Question
Study the velocity-time graph and calculate.
  1. The acceleration from $A$ to $B.$
  2. The acceleration from $B$ to $C.$
  3. The distance covered in the region $ABE.$
  4. The average velocity from $C$ to $D.$
  5. The distance covered in the region $BCFE.$

Answer

  1. $\text{a}=\frac{(25-0)}{(3-0)}=8.3\text{m/s}^{2}$
  2. $\text{a}=\frac{(20-25)}{(4-3)}=5\text{m/s}^{2}$
  3. Distance $=$ Area of triangle $ABE.$
  4. $=\frac{1}{2}\times3\times25=37.5\text{m}$
  5. $\text{V}=\frac{(20-0)}{2}=10\text{m/s}$
This Distance $=$ Area of trapezium $BCFE.$
$=\frac{1}{2}(25+20)\times(4-3)=22.5\text{m}$

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