Question

a particle is moving in a straight line with uniform acceleration .if the distances covered by it in 5th,7th,9th seconds are 28,36,44 meters respectively then its acceleration is

Answer 1

Answer:

1. 2.24ms∧-2

2. 1.47ms∧-2

3. 1.09ms∧-2

Explanation:

1. 28m-5s

using S = ut + 1/2$at^{2}$

s=28m, u=0, a=?, t=5s

28 = 0 + 1/2 (5^2(a)

28 = 0 + 25a/2

28×2 = 25a

56 = 25a

a = 56/25

a = 2.24ms∧-2

2. 36m-7s

s=36m, u=0, a=?, t=7s

36 = 0 + 1/2 a7∧2

36 = 1/2 49a

36×2 = 49a

72 = 49a

a = 72/49

a = 1.47m∧s-2

3. 44m - 9s

s=44m, a=?, u=0, t=9s

44 = 0 + 1/2 a9∧2

44 = 1/2 81a

44×2 = 81a

88 = 81a

a = 88/81

a = 1.09ms∧-2