Average velocity of a particle moving in a straight line, with constant accele

Sail E0 Webinar

Question

Average velocity of a particle moving in a straight line, with constant acceleration $a$ and initial velocity $u$ in first $t$ seconds is:

Options:

A .

u

B .

u + a t

C .

u + \frac{a t}{2}

D .

\frac{u + a t}{2}

Answer: Option C
:
C

Given, initial velocity is $u$ , acceleration is $a$ and total time taken is $t$ .
Let $s$ be the displacement of the particle.
From second equation of motion,
$s = u t + \frac{1}{2} a t^{2}$ .
$A v e r a g e V e l o c i t y = \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$
$∴$ $A v e r a g e v e l o c i t y = \frac{u t + \frac{{a t}^{2}}{2}}{t}$
$= u + \frac{a t}{2}$

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. An object starts from rest and moves with uniform acceleration. The displacement of the object is proportional to....displacement of the object is proportional to ___ of time.

Question 2. A ship was moving at a speed of 500 ms−1 and it attained speed of 600 ms−1 in 5 seconds. What is th....in 5 seconds. What is the acceleration of the ship?

Question 3. A coin is thrown in a vertically upward direction with a velocity of 5 ms−1. If the acceleration of the co....how much time will it take to reach there ?

Question 4. A particle moves 3 m north, then 4 m east and finally 6 m south. What is the distance travelled and the displacement of....is the distance travelled and the displacement of the particle?

Question 5. An express train going towards Delhi is travelling at a speed of 90 kmph. Brakes are applied so as to produce a u....the train will go before it is brought to rest.

Question 6. A 60 m long train moving on a straight level track passes a pole in 5 s. Find the speed of the tra....time it will take to cross a 540 m long bridge.

Question 7. In the given figure, the velocity of the body at A is zero.....

Question 8. An auto travels the first half time with a uniform speed u and the next half time with a uniform speed v. Find its avera....time with a uniform speed v. Find its average speed.

Question 9. An artificial satellite is moving in a circular orbit of radius 4200 km around the earth. What is its speed if it....speed if it takes one day to complete one revolution?

Question 10. The velocity - time graph of a body with a constant acceleration is:....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0