Question

The velocity-time graph of a body moving in a straight line is shown. The displacement of the body in 10 s is

• A. 10 m
• B. 16 m
• C. 13 m
• D. 15 m

Answer 1

The correct option is C 13 m

The area of a velocity-time graph gives displacement.
Displacement = Area ΔABH + Area ΔBHC + Area ΔCGI + Area ◻GDEF
Displacement $=(\frac{1}{2}\times AH\times BH)+(\frac{1}{2}\times BH\times HC)+(\frac{1}{2}\times CG\times IG)+(GF\times EF)$
$s=(\frac{1}{2}\times 4\times 4)+(\frac{1}{2}\times 4\times 2)+(\frac{1}{2}\times 2\times (-3\left)\right)+(2\times 2)$
s = 8+4-3+4
s = 13 m
Hence, the correct answer is option (c).