A body is moving in a straight line with uniform acceleration it cover

1.	A body is moving in a straight line with uniform acceleration it covers distance of 10m and 12m in third and fourth second respectively then the initial velocity in m/sec
Answer» Answer: Search for questions PHYSICS A particle is moving in a straight line with initial velocity and uniform acceleration a. If the sum of the DISTANCE travelled in t th and (t+1) th seconds is 100 cm, then its velocity after t seconds, in cm/s, is December 20, 2019avatar Pulkit Rambo SHARE ANSWER The distance travelled in N th second is S n =u+ 2 1 (2n−1)a ....(1) So distance travelled in t th &(t+1) th second are S t =u+ 2 1 (2t−1)a ....(2) S t+1 =u+ 2 1 (2t+1)a ....(3) As per QUESTION, S t +S t+1 =100=2(u+at) ....(4) Now from FIRST equation of MOTION the velocity of particle after time t, if it moves with an acceleration a is v=u+at ....(5) where u is initial velocity So from equation (4) and (5), we get v=50cm/s

A body is moving in a straight line with uniform acceleration it covers distance of 10m and 12m in third and fourth second respectively then the initial velocity in m/sec

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PHYSICS

A particle is moving in a straight line with initial velocity and uniform acceleration a. If the sum of the DISTANCE travelled in t

and (t+1)

seconds is 100 cm, then its velocity after t seconds, in cm/s, is

December 20, 2019avatar

Pulkit Rambo

ANSWER

The distance travelled in N

second is

=u+

(2n−1)a ....(1)

So distance travelled in t

&(t+1)

second are

=u+

(2t−1)a ....(2)

t+1

=u+

(2t+1)a ....(3)

As per QUESTION,

t+1

=100=2(u+at) ....(4)

Now from FIRST equation of MOTION the velocity of particle after time t, if it moves with an acceleration a is

v=u+at ....(5)

where u is initial velocity

So from equation (4) and (5), we get v=50cm/s

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