A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms-1 to 20 ms-1 while passing through a distance 135 m in t second. The value of t is: (a) 12 (b) 9 (c) 10 (d) 1.8

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms-1 to 20 ms-1 while passing through a distance 135 m in t second. The value of t is:

(a) 12

(b) 9

(c) 10

(d) 1.8

Here,

u = 10 m/s

v = 20 m/s

x = 130 m

We have

v – u = at

a = (v – u) / t

a = (20 – 10) / t

a = 10 / t

We have

s = ut + (1/2) at2

135 = 10t + (1/2) (10/t) t2

We get,

t = 9s

Hence, option (b) is the correct answer

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