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qUESTIONS

A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction and (ii) in the opposite direction is

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60⁰ with ground level. But he finds the aeroplane right vertically above his position. If u is the speed of sound, speed of the plane is

Ship A is sailing towards north-east with velocity v = 30î +50j km/hr where î points east and j, north. Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10km/hr. A will be at minimum distance from B in

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively (a= acceleration, u velocity, x = displacement, t = time)

The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight

The position vector of a particle changes with time according to the relation r(t)=15t² î+ (4 – 20t²)j What is the magnitude of the acceleration at t = 1

The position of a particle as a function of time t, is given by x(t) = at + bt²- ct³ where a, b and e are constants. When the particle attains zero acceleration, then its velocity will be

A ball is thrown upward with an initial velocity v0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mYv² where m is mass of the ball, u is its instantaneous velocity and y is a constant). Time taken by the ball to rise to its zenith is

A particle is moving with speed v = b√x along positive x-axis. Calculate the speed of the particle at time t =t (assume that the particle is at origin at t = 0 )

A particle starts from the origin at 10 with an initial velocity of 3.01 m/s and moves in the x-y plane with a constant acceleration (6.0 î +4.0 j )m/s². The x-coordinate of the particle at the instant when its y-coordinate is 32 m is D meters. The value of D is:

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