Question

The distance travelled by a particle starting from rest and moving with an acceleration \(3 \, \text{m/s}^2\) in the third second is:

• A. 10 m
• B. 20 m
• C. 30 m
• D. 40 m

Hint:

Use the equation of motion to calculate the distance travelled in a particular second when acceleration is constant.

Answer 1

The Correct Option is B

Step 1: Use the equation of motion.
The distance travelled in the \(n^{\text{th}}\) second is given by the equation: \[ S_n = u + \frac{a(2n-1)}{2} \] where \( u \) is the initial velocity, \( a \) is the acceleration, and \( n \) is the second.

Step 2: Apply the values.
For the third second, we have \( u = 0 \), \( a = 3 \, \text{m/s}^2 \), and \( n = 3 \). Substituting these values, we get: \[ S_3 = 0 + \frac{3(2(3)-1)}{2} = 20 \, \text{m}. \]