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Grade: upto college level


A particle moves with a constant acceleration along the x- axis. At t=0, the particle is at x=0 and dx/dt= +4m/s. The maximum value of x-coordinate of the particle is observed 2 seconds later. Starting from t=0 after what time will it reach its position again....?

6 years ago

Answers : (1)

19 Points
							The particle goes at const. acceleration 
So,the position time relation would be quadratic.
Let a be the acceleration of the body .Hence the velocity would be at+c ---[1](integrating)
Given At t=0 velocity is 4 m/s 
So c=4.The max. value of x co-ordinate is at t=2 
=>dx/dt=0 at t=2
=>2a+4=0=>a= -2 m/s.s
Integrating [1]
x=(at^(a+1))/a+1  + 4t (Here c=0 as x=0 when t=0)
=>x=2t^-1 +4t
max valuues is at t=2==> x=9
Solve the quadratic eqn on t and we get soln as 2(which was given) and 0.25s
6 years ago
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