Question

The acceleration–time graph of a particle moving on a straight line is as shown in figure. The velocity of the particle at time t = 0 is 2m/s. The velocity after 2 seconds will be

(A) 6 m/s 

(B) 4 m/s 

(C) 2 m/s 

(D) 8 m/s

Answer 1

Correct option (A) 6 m/s

Explanation:

v(2) = v(0) + area under a–t graph from t = 0 to t = 2

= 2 + 1/2(2)(4) = 6m/s.