Home
Class 11
PHYSICS
A particle moves in a straight line with...

A particle moves in a straight line with uniform acceleration. Its velocity at time `t=0` is `v_1` and at time `t=t` is `v_2.` The average velocity of the particle in this time interval is `(v_1 + v_2)/2` . Is this statement true or false?

Text Solution

AI Generated Solution

To determine whether the statement "The average velocity of the particle in this time interval is (v_1 + v_2)/2" is true or false, we can analyze the motion of the particle under uniform acceleration. ### Step-by-Step Solution: 1. **Understanding Uniform Acceleration**: A particle moving with uniform acceleration means that its velocity changes at a constant rate. The initial velocity at time \( t = 0 \) is \( v_1 \) and the velocity at time \( t \) is \( v_2 \). 2. **Using the Equation of Motion**: ...
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.6|5 Videos

  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.7|3 Videos

  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.4|2 Videos

  • GRAVITATION

    DC PANDEY|Exercise (C) Chapter Exercises|45 Videos

  • KINEMATICS 1

    DC PANDEY|Exercise INTEGER_TYPE|15 Videos

Similar Questions

Explore conceptually related problems

For body moving with uniform acceleration a , initial and final velocities in a time interval t are u and v respectively. Then its average velocity in the time interval t is

A particle is moving in a straight line according to graph given below : (a is acceleration, v is velocity, x is position, t is time) :

A particle moves along a straight line its velocity dipends on time as v=4t-t^(2) . Then for first 5 s :

A particle move with a velocity v=alpha t^(3) along a straight line.The average velocity in time interval t=0 to t=T is

A particle moves in a straight line with an acceleration a ms^(-2) at time 't' seconds where a =-(1)/(t^(2)) . When t = 1 the particle has a velocity of 3ms^(-1) then the velocity when t = 4 is (v)/(4) . Find the value of v.

A particle moves with a velocity v(t)= (1/2)kt^(2) along a straight line . Find the average speed of the particle in a time t.

If velocity of a particle is given by v=(2t+3)m//s . Then average velocity in interval 0letle1 s is :

Statement-I : A particle moves in a straight line with constant acceleration. The average velocity of this particle cannot be zero in any time interval. Statement-II : For a particle moving in straight line with constant acceleration, the average velocity in a time interval is (u+v)/(2) , where u and v are initial and final velocity of the particle of the given time interval.