Question # A particle has a velocity ( u ) towards east at ( t=0 . ) Its acceleration is uniform and towards west. Let ( x_{A} ) and ( x_{B} ) be the magnitude of displacements in the first 10 seconds and the next 10 seconds. Then,

# A particle has a velocity ( u ) towards east at ( t=0 . ) Its acceleration is uniform and towards west. Let ( x_{A} ) and ( x_{B} ) be the magnitude of displacements in the first 10 seconds and the next 10 seconds. Then,

(a) ( x_{A}(b) ( x_{A}=x_{B} )

(c) ( x_{A}>x_{B} )

(d) the information is insufficient to decide the relation of ( x_{A} ) with ( x_{B} )

(c) ( x_{A}>x_{B} )

(d) the information is insufficient to decide the relation of ( x_{A} ) with ( x_{B} )

Solution

Magnitude of displacement depends up on initial velocity , time duration and acceleration. In this case only tine is known while magnitude of initial velocity and accelerations unknown. These to two displacements could only be comparable if direction of initial velocity velocity and acceleration had been the same. Since in this case directions are opposite, their magnitudes need to

be known So that in why there is not sufficient in formation.

( therefore(d) ) is the correct answer