A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be (2004, 2M)
- A.(a) 110 m/s
- B.(b) 55 m/s
- C.(c) 550 m/s
- D.(d) 660 m/s
Show answer and solution
Correct option: B
Solution
The maximum speed is the area under the a-t graph. From the standard version of this problem, the graph shows acceleration decreasing linearly from 10 m/s² at t = 0 to 0 at t = 11 s. The area under this triangle is (1/2) × base × height = (1/2) × 11 × 10 = 55 m/s.
[AIEEE 2004]