Question

A particle moves for a second it was accurate from rest and then ishita to rest of the retardation be 3 x acceleration then the time for which its accelerate will be

Answer 1

✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️

Question: ​​A particle moves for 8 seconds. It first accelerates from rest and then retards to rest. If the retardation be 3 times the acceleration, the time for which it accelerates will be....

Answer:

Total time t = 8 second

t1 is time for acceleration which is a.

t2 is time for retardation which d = −3a

and 

t2=8−t1

For accelerated motion:

V=u+at

V=0+at1

V=at1

Now, for retardation:

Final velocity is zero,

V'=V+dt2

0=at1−3a(8−t1)

3a(8−t1)=at1

24−3t1=t1

4t1=24

t1=6s

t2=2s


✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️