The acceleration of a particle moving on a straight line is given by a=cost , and when t= 0 the particle is at rest. The distance it covers from t= 0 to t= 2 is

Question

The acceleration of a particle moving on a straight line is given by a=cost , and when t= 0 the particle is at rest. The distance it covers from t= 0 to t= 2 is

(A) sin 2

(B) 1-cos 2

(C) cos 2

(D) sin 2-1

(E) cos 2

Answer 1

a(t) = v'(t) = s"(t) = cost

v(t)= s'(t) = sint

s(t) = 1-cost

s(0) =1-cos0 = 1-1 =0

s(2) = 1-cos2

B is the answer