if a body starts from rest and moving with constant acceleration .its momentum vs time graph will be

 

Asked by yneha0826 | 18th Aug, 2021, 12:16: AM

Expert Answer:

Equation of motion relating velocity and time is given as
 
v = u + ( a  × t ) .................. (1)
 
where v is velocity at time t , u is initial velocity and a is constant acceleration .
 
Hence relation between momentum p and time t is given as
 
p  = m × v = ( m × u ) + ( m × a × t ) =  po + ( F × t ) .................. (2)
 
where Po = ( m × u ) is initial momentum  and F = ( m × a ) is force . Since acceletion is constant force is also constant .
 
Hence from expression (2) , momentum varies linearly with time as shown in graph
 

Answered by Thiyagarajan K | 18th Aug, 2021, 08:17: AM