Question

The given figure shows acceleration – time graph for a rectilinear motion. Find average acceleration in first 10 seconds.

• A. 10 m/s²
• B. 15 m/s²
• C. 7.5 m/s²
• D. 30 m/s²

Answer 1

The correct option is C

7.5 m/s²

Average acceleration = $\frac{Changeinvelocity}{Time}$
Change in velocity = Area under acceleration-time graph = $\frac{1}{2}\times 5\times 10+(10-5)\times 10=25+50=75\frac{m}{s}$
Time, t = 10 seconds
Average acceleration = $\frac{75}{10}=7.5\frac{m}{s^2}$.