KinematicsEasy
Question
The displacement x of a particle varies with time as x = ae-αt + beβt , where a, b, α and β are positive constants. The velocity of the particle will :-
Options
A.be independent of α and β
B.go on increasing with time
C.drop to zero when α = β
D.go on decreasing with time
Solution
v = a(-α)e-αt + b(β)eβt
v = - a α e-αt + bβ2eβt
a =
= aα2e-αt + bβ2eβt > 0 (always)
v = - a α e-αt + bβ2eβt
a =
= aα2e-αt + bβ2eβt > 0 (always)Create a free account to view solution
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