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qUESTIONS

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)

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 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 particle starts from origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in 7/3 seconds?

Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity V and B, thrown downward with velocity V, then

A body is a rest at x = 0 At 10, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x1(t) after time and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1- x2) as a function of time

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with is displacement?

Two stones are thrown up simultaneously from the edge of a cliff 240m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first (Assume stones do not rebound after hitting the ground and neglect air resistance, take g = 10m/s²) . (The figures are schematic and not drawn to scale)

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

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