Question

Average velocity of a particle moving in a straight line with constant acceleration a and initial velocity u in

first t seconds is​

Answer 1

Answer:

As acceleration is constant so avg velocity equals to (v+u)/2

Now v = u+ at (First equation of motion)

So avg velocity = u + (at)/2

Answer 2

Average velocity of a particle moving in a straight line with constant acceleration a and initial velocity u in first t seconds is $u + \frac{at}{2}$

Step-by-step explanation::

Given:

Average velocity of particle moving in straight line with

• Constant acceleration (a)
• Initial velocity(u)
• Time(t)

To find: Average velocity of a particle.

Solution:

Initial velocity = u

Acceleration = a

Total time take =t

Let we take displacement of a particle as s

From the second equation of motion,

$s = ut + \frac{1 }{2} at^{2}$

Therefore ,

$Average velocity = \frac{Total displacement}{Total time}$

Average velocity = $\frac{ut + \frac{at^{2} }{2} }{t}$

Average velocity = $u + \frac{at}{2}$

Final answer:

Average velocity of a particle moving in a straight line with constant acceleration a and initial velocity u in first t seconds is $u + \frac{at}{2}$

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