Question

If a body having an initial velocity zero is moving with uniform acceleration 8 ms^-2, the distance traveled by it in the 5th second is

• A. zero
• B. 32 m
• C. 36 m
• D. 40 m

Answer 1

The correct option is C

36 m

Step 1:Given data:

The initial velocity of the body is zero

It is moving with a uniform acceleration of 8 ms^-2.

Step 2: Formula used

From the equation of motion, we know that,

$S_n=\frac{a}{2}(2n-1)$

Here,

S_n is the distance traveled in the nth second,

a is the constant acceleration,

n is the number of seconds,

Step 3: Finding the value of S_n:

We have,

$$\begin{gathered} a=8m{s}^{-2} \\ n=5 \\ {S}_5=\frac{8}{2}(2\times 5-1) \\ {S}_5=4\times 9 \\ {S}_5=36m \end{gathered}$$

Hence, the correct option is (C).