MEDIUM
Assam CEE
IMPORTANT
Earn 100

The position of a particle as a function of time is given by rt=Acosωti^+Bsinωtj^ where A and B are two real positive constants with A>B. The orbit of the particle looks like-

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Important Questions on Kinematics

MEDIUM
Assam CEE
IMPORTANT
The equation of motion of a body is, dv(t)dt=9-3vt where, v(t) is the speed (in m s-1) at time t (in second). If the body was at rest at t=0, then which of the following is correct?
MEDIUM
Assam CEE
IMPORTANT
The initial velocity of a projectile is 2i^+4j^ m s-1, where i^ and j^ are along horizontal and vertical directions, respectively. For g=10 m s-2, the equation of the trajectory will be,
HARD
Assam CEE
IMPORTANT
A mobile phone of mass 100 g falls from the hand of a person through the window of a train. The train is accelerating at 1 m s-2 and just 20 s have passed since it left the station from standstill. If the window is 2 m above the ground. With what kinetic energy will the phone will hit the ground? g=10 m s-2
HARD
Assam CEE
IMPORTANT

A ball of mass m is thrown upward with a velocity v. The air exerts an average resisting force F. The velocity with which the ball returns to the thrower is