Question

A, B, and C are three successive points on a straight line. AB = 6.0 m, and BC = 10.0 m.

A small object moving along this line from rest with uniform acceleration, passes B and C, 2.0 s

and 4.0 s, respectively, after passing A. Calculate the

i)

acceleration of the body,

Answer 1

1 m/s²

Step-by-step explanation:

Let velocity at A be v,

Use d = v*t + at²2/2

From A to B,

6 = v(2) + a(2²)/2 = 2v + 2a, so

v + a = 3 (1)

From A to C,

6 + 10 = v(4) + a(4²)/2

16 = 4v + 8a

or, v + 2a = 4 (2)

From (1) (2), get

a = 1 m/s²