Question

(a) initial velocity, u; final velocity, y, acceleration, a and the time taken by a body, t. : (b) initial velocity, u, final velocity v, acceleration a and the distance travelled by a body, s..​

Answer 1

Answer:

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Explanation:

Answer 2

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Class 11

>>Physics

>>Motion in a Straight Line

>>Uniformly Accelerated Motion

>>For a body moving with uniform accelerat

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For a 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 :

This question has multiple correct options

Medium

Solution

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Correct options are B) and D)

Hint: Use the equations of motion

Step 1: Given a body is moving with uniform acceleration 'a', initial velocity is u and final velocity is v, time is t.

We have to find the average velocity.

From the equations of motion we know

s=ut+

2

1

at

2

and v=u+at

If an object velocity is increasing at a constant rate then it is called as uniform acceleration.

Step 2:

We know Average velocity can be calculated using the formula

Averagevelocity=

TotalTime

Totaldisplacement

=

t

ut+

2

1

at

2

Averagevelocity=u+

2

1

at

From equations of motion v=u+at

Using this equation we can write u=v−at

Substitute u=v−at in the above equation obtained for Average velocity

we get

Averagevelocity=v−at+

2

1

at=v−

2

1

at