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Question

Question: The initial velocity of a body moving along a straight line is 7 \(m/s\). It has a uniform accelerat...

The initial velocity of a body moving along a straight line is 7 m/sm/s. It has a uniform acceleration of4m/s24m/s^{2}. The distance covered by the body in the 5th second of its motion is

A

25 m

B

35 m

C

50 m

D

85 m

Answer

25 m

Explanation

Solution

Sn=u+a2[2n1]S_{n} = u + \frac{a}{2}\lbrack 2n - 1\rbrack

S5th=7+42[2×51]=7+18=25mS_{5^{th}} = 7 + \frac{4}{2}\lbrack 2 \times 5 - 1\rbrack = 7 + 18 = 25m.