Equations of Motion MCQs

Q1. Which equation does NOT contain time t?

• A.v^2 = u^2 + 2as
• B.v = u + at
• C.s = ut + (1/2)at^2
• D.s = (u+v)t/2

Answer: A. v^2 = u^2 + 2as

Asked for the unknown; data is laid out in the stem. By v^2 = u^2 + 2as relates v, u, a and s only. v^2 = u^2 + 2as relates v, u, a and s only. So option A) v^2 = u^2 + 2as. Others fail: option B) 'v = u + at' misses the point - Contains t; option C) 's = ut + (1/2)at^2' doesn't hold - Contains t.

Q2. Which of the following is a scalar quantity?

• A.Speed
• B.Velocity
• C.Displacement
• D.Acceleration

Answer: A. Speed

The core fact here is - Speed has only magnitude -> scalar. That fits the listed correct option directly - Correct. Looking at the others: option B) 'Velocity' fails since A vector; option C) 'Displacement' fails since A vector. Hence the answer is A) Speed.

Q3. A body starts with velocity 5 m/s and moves with uniform acceleration 2 m/s^2. Its velocity after 4 s and the distance covered in this time are:

• A.13 m/s and 36 m
• B.13 m/s and 52 m
• C.8 m/s and 36 m
• D.7 m/s and 36 m

Answer: A. 13 m/s and 36 m

Diagnose the question type - a typical physics numerical. The data on the table: 5 m, 2 m, 4 s. We are after the quantity the stem asks for. Tool of choice - v = u+at = 5+2x4 = 13 m/s. Rearrange it for the unknown before substituting. Numbers in: v = u+at = 5+2x4 = 13 m/s → s = ut+0.5at^2 = 5x4+0.5x2x4^2 = 36 m. Lock in option A) 13 m/s and 36 m. Trap-watch: option B) '13 m/s and 52 m' is wrong because Distance = ut + (1/2)at^2; do not omit the factor 1/2; option C) '8 m/s and 36 m' fails since Velocity = u + at; do not omit u.