Question

the velocity-time graph of a body is give as shown in the figure. find the distance covered by the object in 17 seconds

Answer 1

Answer:

☆area of v-t graph gives displacement.

• the graph consists of two area upto 17 s
• one is positive area - trapezium
• other is negative area- triangle

•area of trapezium=

》$\frac {1}{2}$ * (sum of parallel sides)*height

》$\frac {1}{2}$ ×(8+13)×20

》210m

•area of triangle (negative)

》$\frac {1}{2}$ * base *height

》$\frac {1}{2}$ ×4 × (-20)

》40m

☆Total area = 210-40

=170

☆displacement = 170 meters

hope it helps!