KinematicsHard
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
View Solution FreeMore Kinematics Questions
A ball is projected upwards from the foot of the tower. The ball crosses the top of the tower twice after an interval of...A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the ...Pick the correct statement : -...From a motorboat moving downstream with a velocity 2 m/s respectest to river, a stone is thrown. The ston falls on an or...The speed of projectile at its maximum height is half of its initai speed. The angle of projection is...