A particle which is moving in a straight line with constant acceleration describes distances of 10 m and 15 m in two successive seconds. find the acceleration

Asked by arjunsah797 | 14th Jun, 2021, 06:57: AM

Expert Answer:

Let u be th initial velocity at nth second .
Then distance S travelled by 1 second interval is determined from the following equation
 
S = u t + (1/2) a t2  .............................(1)
 
where a is acceleration 
 
For 1 second interval , let us substitute t = 1 , then we get ,
 
10 = u + (1/2) a  .........................(2)
 
For next (n+1)th second , initial velocity is ( u + a )
 
distance described for a time interval t =1 seconds  at (n+1)th second is determined from eqn.(1) as
 
15 = (u+a) + (1/2) a  .......................(3)
 
By solving eqn.(2) and (3) , we get acceleration a = 5 m/s2
 
 

Answered by Thiyagarajan K | 14th Jun, 2021, 08:04: AM