A car moving with a velocity of 10m/s and with a uniform acceleration gains a velocity of 30m/s after travelling a distance of 4km then the time taken is:

# A car moving with a velocity of 10m/s and with a uniform acceleration gains a velocity of 30m/s after travelling a distance of 4km then the time taken is:

1. A

20 s

2. B

200 s

3. C

2000 s

4. D

2 s

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### Solution:

To find acceleration:

v2 = u2 +2as

302 = 102 + 2xax4000

900 = 100 + 8000 a

a =

a=$\frac{1}{10}$ m/s2

To find the time taken;

v = u+at

30 = 10 + $\frac{1}{10}$x t

30-10 = $\frac{t}{10}$

t/10 = 20

t= 200s

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