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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 directions is:

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Important Questions on Kinematics

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A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m s-2 and the car has acceleration 4m s-2 . The car will catch up with the bus after time :
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A car moves in positive Y-direction with velocity v proportional to distance travelled y as vyyβ, where β is a positive constant. The car covers a distance L with average velocity v proportional to L as vL1/3. The constant β is given as
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A particle covers half of the circle of radius r. Then the displacement and distance of the particle are respectively
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A fly is in rectilinear motion as described by the graph. The average speed of the fly is

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A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d2 Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as
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A particle starts from the 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=5 s?
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The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.

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